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Academic literature on the topic 'Inclined planes'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 July 2024

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Journal articles on the topic "Inclined planes"

1

Petroski, Henry. "Pyramids as Inclined Planes." American Scientist 92, no. 3 (2004): 1. http://dx.doi.org/10.1511/2004.47.1.

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Glaister, P. "Projectiles on inclined planes." Physics Education 27, no. 5 (September 1992): 269–72. http://dx.doi.org/10.1088/0031-9120/27/5/006.

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Nunes, A. M., and J. P. Silva. "Tilted boxes on inclined planes." American Journal of Physics 68, no. 11 (November 2000): 1042–49. http://dx.doi.org/10.1119/1.1286047.

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Deters, Kelly. "An Inquiry Lab on Inclined Planes." Physics Teacher 43, no. 3 (March 2005): 177–79. http://dx.doi.org/10.1119/1.1869430.

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Cassar, C., M. Nicolas, and O. Pouliquen. "Submarine granular flows down inclined planes." Physics of Fluids 17, no. 10 (2005): 103301. http://dx.doi.org/10.1063/1.2069864.

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Ruyer-Quil, C., and P. Manneville. "Modeling film flows down inclined planes." European Physical Journal B 6, no. 2 (November 1998): 277–92. http://dx.doi.org/10.1007/s100510050550.

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Sheppard, Scott S., and David C. Jewitt. "The Abundant Irregular Satellites of the Giant Planets." Highlights of Astronomy 13 (2005): 898–900. http://dx.doi.org/10.1017/s1539299600017469.

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AbstractIrregular satellites have eccentric orbits that can be highly inclined or even retrograde relative to the equatorial planes of their planets. These objects cannot have formed by circumplanetary accretion as did the regular satellites which follow un-inclined, nearly circular, pro-grade orbits. Instead, they are likely products of early capture from heliocentric orbit. The study of the irregular satellites provides a unique window on processes operating in the young solar system. Recent discoveries around Jupiter (45 new satellites), Saturn (13), Uranus (9), and Neptune (5) have almost increased the number of known irregular satellites by a factor of ten and suggest that the gas and ice giant planets all have fairly similar irregular satellite systems. Dynamical groupings were most likely produced by collisional shattering of precursor objects after capture by their planets. Jupiter is considered as a case of special interest. Its proximity allows us to probe the fainter, smaller irregular satellites to obtain large population statistics in order to address the questions of planet formation and capture.

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Chen, Liheng, and William Wei. "Motion of Polygonal Prisms Down Inclined Planes." STEM Fellowship Journal 3, no. 2 (December 1, 2017): 1–16. http://dx.doi.org/10.17975/sfj-2017-017.

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An experiment was carried out to determine the rolling times of square, hexagonal and circular prisms down inclined ramps of various angles. Each roll was recorded on video and rolling times were determined by counting frames. A model was created to predict the times of descent for n-sided prisms under the assumption of persistent contact between prism and ramp. A second model was created without this assumption. Animations of the prisms’ motion were created according to the models. Predicted times of the models approached experimental times for polygonal prisms as the number of sides increased. Notable properties of the rolling motions are discussed, and reasons for discrepancies between models and results are addressed.

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‘t Mannetje, D. J. C. M., C. U. Murade, D. van den Ende, and F. Mugele. "Electrically assisted drop sliding on inclined planes." Applied Physics Letters 98, no. 1 (January 3, 2011): 014102. http://dx.doi.org/10.1063/1.3533362.

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Lord, Nick. "Two quick observations about rough inclined planes." Mathematical Gazette 102, no. 554 (June 18, 2018): 352–53. http://dx.doi.org/10.1017/mag.2018.80.

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Dissertations / Theses on the topic "Inclined planes"

1

Nanduru, Venkata Giri. "Ramp control strategies and geometric design implications of high-speed automated transportation systems." Thesis, This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-09052009-040424/.

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Asgarifard, Aniran. "Static Machines, Fragile Loads." Thesis, Virginia Tech, 2016. http://hdl.handle.net/10919/71804.

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Ramps are usually perceived as utilitarian objects emerging from standardized guidelines for architecture and landscape architecture. But closer examination reveals they can be quite beautiful and poetic. What we commonly call ramps, Galileo referred to as inclined planes, counting them as one of six classical simple machines in Le Meccaniche (On Mechanics) . Because inclined planes are actually static machines that do not require any energy to run. They do not discriminate among users. This thesis explores the work of the ramp in moving fragile loads, such as human beings.
Master of Landscape Architecture

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Pajjuri, Srinivas Reddy. "Computer model to simulate truck accidents on exit ramps." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-08182009-040509/.

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Madjidi, Saeid. "Low velocity impact of obliquely inclined composite plates." Thesis, University of the West of Scotland, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535957.

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A study into the performance of CSM (Chopped Strand Mat) reinforced polyester laminates subject to low velocity impact at oblique angles is presented. The investigation encompasses both an experimental and theoretical assessment of the impact event, viz damage tolerance and residual material properties of flat, clamped composite plates. A short introduction is followed by a comprehensive review of the most relevant published literature on all aspects of impact induced damage. A theoretical analysis based on the use of damage toughness parameters is formulated to predict the residual tensile strength and stiffness properties of impact damaged plates. The analysis is further extended to determine the total internal stress distribution in the system. A combination of Hertzian contact, plate bending and finite element solution are used to establish the influence of plate inclination on the resulting stress state. Several common failure criteria were used to predict the extent of the damage. These predictions are compared with experimental data. Results from an extensive experimental programme are presented A fully instrumented test rig was used to assess the influence of imparted energy, impact force, and plate indentation with respect to surface indentation profiles, damage areas and micrographic evidence. The theoretical and experimental results are graphically presented, discussed in detail and exhibit good agreement. The study is finally concluded with comments summarising the most pertinent points derived from the present investigation together with recommendations for further work.

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Goujon, Celine. "Ecoulements granulaires bidisperses sur plans inclines rugueux." Phd thesis, Université de Provence - Aix-Marseille I, 2004. http://tel.archives-ouvertes.fr/tel-00008984.

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Pour comprendre la grande mobilité des écoulements naturels, nous nous sommes intéressés à l'étude des écoulements granulaires monodisperses et bidisperses. L'étude des écoulements granulaires monodisperses a montré l'existence d'un diamètre de billes pour lequel la friction est maximum. Ce diamètre dépend des caractéristiques du plan rugueux (diamètre des rugosités et espacement entre les rugosités), et peut être déterminé à l'aide d'un modèle de stabilité sans paramètre ajustable. L'étude des écoulements bidisperses a mis en évidence, du fait de la répartition inhomogène des billes lors de l'écoulement de nombreuses interactions, réparties suivant deux effets : les “effets de lignes” qui ont une influence sur la morphologie du dépôt (formation ou non de doigt) et les “effets d'interface” (interactions des petites billes avec le plan rugueux et interaction des petites billes avec les grosses billes) qui ont une influence sur l'épaisseur du dépôt et sur la rhéologie de ces écoulements.

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Savoie, Andrée J. "Eliminating scour and excessive volumes in settling tanks using inclined plates." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ36740.pdf.

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So, Ling-yue Daphne, and 蘇令如. "Inclined [expression], [impression]: an urbanconnector/collector on the inclined surface at foothill." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31986031.

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Leite, Bruno Medeiros. "Modelagem do absorvedor e do gerador de ciclos de refrigeração por absorção de calor com o par amônia/água baseados na tecnologia de filme descendente sobre placas inclinadas." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/3/3150/tde-16062016-080831/.

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Esse trabalho constitui o desenvolvimento da modelagem térmica e simulação por métodos numéricos de dois componentes fundamentais do ciclo de refrigeração por absorção de calor com o par amônia/água: o absorvedor e o gerador. A função do absorvedor é produzir mistura líquida com alta fração mássica de amônia a partir de mistura líquida com baixa fração mássica de amônia e mistura vapor mediante retirada de calor. A função do gerador é produzir mistura líquido/vapor a partir de mistura líquida mediante o fornecimento de calor. É proposto o uso da tecnologia de filmes descendentes sobre placas inclinadas e o método de diferenças finitas para dividir o comprimento da placa em volumes de controle discretos e realizar os balanços de massa, espécie de amônia e energia juntamente com as equações de transferência de calor e massa para o filme descendente. O objetivo desse trabalho é obter um modelo matemático simplificado para ser utilizado em controle e otimização. Esse modelo foi utilizado para calcular as trocas de calor e massa no absorvedor e gerador para diversas condições a partir de dados operacionais, tais como: dimensões desses componentes, ângulo de inclinação da placa, temperatura de superfície e condições de entrada da fase líquida e vapor. Esses resultados foram utilizados para estabelecer relações de causa e efeito entre as variáveis e parâmetros do problema. Os resultados mostraram que o ângulo de inclinação da placa ótimo tanto para o absorvedor como para o gerador é a posição vertical, ou 90°. A posição vertical proporciona o menor comprimento de equilíbrio (0,85 m para o absorvedor e 1,27 m para o gerador com as condições testadas) e se mostrou estável, pois até 75° não foram verificadas variações no funcionamento do absorvedor e gerador. Dentre as condições testadas para uma placa de 0,5 m verificou-se que as maiores efetividades térmicas no absorvedor e gerador foram respectivamente 0,9 e 0,7 e as maiores efetividades mássicas no absorvedor e gerador foram respectivamente 0,6 e 0,5. É esperado que os dados obtidos sejam utilizados em trabalhos futuros para a construção de um protótipo laboratorial e na validação do modelo.
This work presents the development of thermal modeling and simulation by numerical methods of two fundamental components of an ammonia/water heat absorption refrigeration cycle: absorber and generator. The function of the absorber is produce high ammonia mass fraction liquid mixture from low ammonia mass fraction liquid mixture and vapor mixture by heat removal. The function of the generator is produce vapor mixture from liquid mixture by heat addition. It is used the falling film technology over Inclined plates and the finite difference method to slice the plate length in discreet control volumes and do the mass, ammonia specie and energy balances along with the heat and mass transfer equations to the falling film. The aim of this work was obtain a simplified mathematical model to be used in control and optimization. This model was used to calculate the exchanges of heat and mass of both absorber and generator in many conditions from operational data such as: components dimensions, plate angle, surface temperature and inlet condition of liquid and vapor phase. These results were used to establish relations of cause and effect between the problem variables and parameters. The results showed that the optimum plate angle for both absorber and generator is the vertical position, or 90°. The vertical position provides the smallest equilibrium length (0,85 m to the absorber and 1,27 to the generator in tested conditions) and it proves itself to be stable, because until 75° no variations in the function of absorber and generator were detected. Among the tested condition for a 0,5 m plate length the highest thermal effectiveness for absorber and generator were respectively 0,9 and 0,7 and the highest mass effectiveness for absorber and generator were respectively 0,6 and 0,5. The obtained data is expected to be used in future works for the construction of a laboratorial prototype and in the model validation.

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Goujon, Céline. "Ecoulements granulaires bidisperses sur plans inclinés rugueux." Aix-Marseille 1, 2004. http://www.theses.fr/2004AIX11053.

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Pour comprendre la grande mobilité des écoulements naturels, nous nous sommes intéressés à l'étude des écoulements granulaires monodisperses et bidisperses. L'étude des écoulements granulaires monodisperses a montré l'existence d'un diamètre de billes pour lequel la friction est maximum. Ce diamètre dépend des caractéristiques du plan rugueux (diamètre des rugosités et espacement entre les rugosités), et peut être déterminé à l'aide d'un modèle de stabilité sans paramètre ajustable. L'étude des écoulements bidisperses a mis en évidence, du fait de la répartition inhomogène des billes lors de l'écoulement, de nombreuses interactions, répartis suivant deux effets : les « effets de lignes » qui ont une influence sur la morphologie du dépôt (formation ou non de doigt) et les « effets d’interface » (interactions des petites billes avec le plan rugueux et interaction des petites billes avec les grosses billes) qui ont une influence sur l’épaisseur du dépôt et sur la rhéologie de ces écoulements.

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Baker, Steven Jeffrey. "Numerical experiments with models for a particle on a rough inclined plane." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/28821.

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Books on the topic "Inclined planes"

1

Dahl, Michael. Inclined planes. Mankato,MN: Bridgestone Books, 1996.

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Howse, Jennifer. Inclined planes. New York: Weigle Publishers, 2009.

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Bodden, Valerie. Inclined planes. Mankato, MN: Creative Education, 2010.

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Dahl, Michael. Inclined planes. Mankato, Minn: Bridgestone Books, 1996.

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Bodden, Valerie. Inclined planes. Mankato, MN: Creative Paperbacks, 2011.

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Marsico, Katie. Inclined planes. Mankato, MN: The Child's World, 2013.

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1960-, Armentrout Patricia, and Armentrout Patricia 1960-, eds. Inclined planes. Vero Beach, FL: Rourke Pub., 2010.

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Gosman, Gillian. Inclined planes in action. New York: PowerKids Press, 2011.

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Christiansen, Jennifer. Get to know inclined planes. New York, NY: Crabtree Pub. Company, 2009.

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Oxlade, Chris. Simple experiments with inclined planes. New York, NY: Windmill Books, 2014.

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Book chapters on the topic "Inclined planes"

1

Attebery, Craig. "Inclined Planes." In The Complete Guide To Perspective Drawing, 88–105. New York : Routledge, 2018.: Routledge, 2018. http://dx.doi.org/10.4324/9781315443560-9.

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Nunes, A. M. "Tilted Boxes on Inclined Planes." In Offbeat Physics, 103–24. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003187103-7.

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Chakraverty, Snehashish, and Uddhaba Biswal. "Nanofluid Flow Between Two Inclined Planes." In Modeling and Simulation of Nanofluid Flow Problems, 23–39. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-031-79657-9_3.

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Eckart, Winfried, John Mark Nicholas Timm Gray, and Kolumban hutter. "Particle Image Velocimetry (PIV) for Granular Avalanches on Inclined Planes." In Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations, 195–218. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36565-5_6.

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Souffrin, Pierre. "Motion on inclined planes and liquids in Galileo's earlier De Motu." In Medieval and Classical Traditions and the Renaissance of Physico-Mathematical Sciences in the 16th Century, 107–14. Turnhout: Brepols Publishers, 2001. http://dx.doi.org/10.1484/m.dda-eb.5.113577.

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Gaudiano, Paolo. "Phenomenological analysis of pendular harmonic motion and the conditions for “natural” motion along inclined planes." In Paolo Bozzi’s Experimental Phenomenology, 213–42. 1 Edition. | New York : Routledge, 2019.: Routledge, 2018. http://dx.doi.org/10.4324/9781351232319-22.

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Huppert, Herbert E., R. Stephen J. Spark, J. Richard Wilson, Mark A. Hallworth, and Alison M. Leitch. "Laboratory Experiments with Aqueous Solutions Modelling Magma Chamber Processes II. Cooling and Crystallization along Inclined Planes." In Origins of Igneous Layering, 539–68. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-017-2509-5_18.

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Vergara Caffarelli, Roberto. "The time taken to descend along inclined planes of equal height and the theorem of final velocity." In Galileo Galilei and Motion, 181–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04353-6_13.

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Bertamini, Marco. "Comments on phenomenological analysis of pendular harmonic motion and the conditions for “natural” motion along inclined planes." In Paolo Bozzi’s Experimental Phenomenology, 243–45. 1 Edition. | New York : Routledge, 2019.: Routledge, 2018. http://dx.doi.org/10.4324/9781351232319-23.

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Silva, J. P., and A. J. Silvestre. "Rolling Cylinder on an Inclined Plane." In Offbeat Physics, 245–54. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003187103-18.

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Conference papers on the topic "Inclined planes"

1

Seven, Utku, Tunc Akbas, Kaan Can Fidan, Metin Yilmaz, and Kemalettin Erbatur. "Humanoid robot walking control on inclined planes." In 2011 IEEE International Conference on Mechatronics (ICM). IEEE, 2011. http://dx.doi.org/10.1109/icmech.2011.5971237.

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Darband, Razieh Barati, Amir Soltany Mahboob, Shakiba Shahbandegan, and Seyed Mohammad Razavi. "Multimodal optimization using inclined planes system optimization algorithm." In 2020 6th Iranian Conference on Signal Processing and Intelligent Systems (ICSPIS). IEEE, 2020. http://dx.doi.org/10.1109/icspis51611.2020.9349594.

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Lin, Sheam-Chyun, and Yu-Shan Luo. "Optimization of waverider configurations generated from inclined circular and elliptic cones." In International Aerospace Planes and Hypersonics Technologies. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-6089.

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Farimani, Meimanat Rezaei, Azam Ramazani, and Seyed-Hamid Zahiri. "Decision functions estimation using Inclined Planes system Optimization algorithm." In 2015 7th Conference on Information and Knowledge Technology (IKT). IEEE, 2015. http://dx.doi.org/10.1109/ikt.2015.7288734.

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Mozaffari, M. H., H. Abdy, and S. H. Zahiri. "Application of inclined planes system optimization on data clustering." In 2013 First Iranian Conference on Pattern Recognition and Image Analysis (PRIA). IEEE, 2013. http://dx.doi.org/10.1109/pria.2013.6528451.

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Haynicz, Jacquelyn J., N. Sanjay Rebello, Sadhana Puntambekar, Charles Henderson, Mel Sabella, and Leon Hsu. "Students’ Understanding of Inclined Planes Using the CoMPASS Curriculum." In 2008 PHYSICS EDUCATION RESEARCH CONFERENCE. AIP, 2008. http://dx.doi.org/10.1063/1.3021234.

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Arai, Takakage, Hideo Fukuzoe, Junji Miura, Harunori Nagata, and Hiroshi Hosokawa. "Experimental investigation of inclined hydrogen injection into a supersonic flow." In 9th International Space Planes and Hypersonic Systems and Technologies Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-4915.

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Marciuc, Daly, Cristina Miron, and Emil stefan Barna. "LEARNING PHYSICS BY BUILDING COMPUTER MODELS - MOVEMENTS ON INCLINED PLANES." In eLSE 2016. Carol I National Defence University Publishing House, 2016. http://dx.doi.org/10.12753/2066-026x-16-210.

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This paper presents a methodology developed by the authors for a comprehensive study at high school level of some topics related to the movement on an inclined plane. The approach is interdisciplinary, aiming to develop students' mathematical and programming skills and improving the ability to use their knowledge of Physics, Mathematics and Computer Science, simultaneously and in conjunction. The activities are finalized by the development of computer models by the students. The VPython programming language is used for the numerical modelling of the motion of the projectiles launched at different angles on an inclined plane, thus obtaining a visualization of Galilei's parabolas. A navigable three-dimensional model is achieved, by exploiting the facilities of Visual package, with its graphical functions and procedures, and by using operations with vectors. For analytical modelling we used the GeoGebra mathematical software, and in this way we obtained a simulation of Galilei's theorem of chord, with generalizations inferred through the study of the implemented mathematical model. The GeoGebra software allows simultaneous work with algebraic and geometric representation of mathematical concepts, providing a visual intuitive support that fosters the understanding of abstract concepts. To facilitate the understanding of analytical mathematical model for movement on an inclined plane, we used a GeoGebra representation of the distance covered by the mobile as Riemann sums for speed versus time function. Thus, understanding the equation of motion becomes accessible to students in the ninth grade, even if they have no knowledge of integral calculus. By the graphical visualisations, the computer offers the student feedback throughout the activities of implementation on the computer of the mathematical models. Constructivist learning principles are applied naturally, supported by a constant confrontation between the meaning assigned to mathematical relations and the obtained images on the computer.

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Heufer, Karl Alexander, and Herbert Olivier. "Film Cooling of an Inclined Flat Plane in Hypersonic Flow." In 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2006. http://dx.doi.org/10.2514/6.2006-8067.

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Powell, O., and J. Bons. "Heat transfer to the inclined trailing wall of an open cavity." In 9th International Space Planes and Hypersonic Systems and Technologies Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-4889.

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Reports on the topic "Inclined planes"

1

Gudhe, R., K. R. Rajagopal, M. Massoudi, and R. Chi. Flow of granular materials down an inclined plane. Office of Scientific and Technical Information (OSTI), May 1993. http://dx.doi.org/10.2172/10148870.

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Demchyna, Bohdan, and Yaroslav Shydlovskyi. Recommendations for Designing Wooden Arches on Metal-toothed Plates. Intellectual Archive, March 2021. http://dx.doi.org/10.32370/ia_2021_03_18.

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This paper presents the findings of the pilot studies and recommendations for designing of two-hinged wooden arches. The prototype models of wooden arches with the span of 6mand the rise of 1m were designed. The models had a rectangular cross-section of 180x40mm and a T-section of 180x40mm with a plywood plate with the thickness of 6 mm and the width of 500mm. The main objective of the T-section was to ensure the stability of the arch. Each arch was composed of six segments –boards joined by clamping plates. The bowstring truss including two inclined tie bars enables carrying asymmetric loads and provides in-plane stability of the arch. A methodology for laboratory testing of the prototype models of wooden arches subjected to different types of loads was developed. Two prototypes of wooden arches were tested with rectangular cross-sections and two T-section ones subjected to the loading across the span, and two prototypes subjected to the half-span loading. In total, eight arches were tested. Deflections of arches, cross-section deformations and arch thrust force were recorded. The arches were tested until failure. The results of testing revealed insufficient stability of the arches with rectangular cross-section in the horizontal plane. For the arches with T-section the whole arch rib was damaged, the in-plane stability was ensured by the T-section. The collapsing force of the T-section arch was about 1.3 times greater than the collapsing force of the rectangular section arches.

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Chanson, Hubert, Philippe Coussot, Sébastien Jarny, and Laurent Tocquer. A Study of Dam Break Wave of Thixotropic Fluid: Bentonite Surges down an Inclined plane. The University of Queensland, Department of Civil Engineering, June 2004. http://dx.doi.org/10.14264/9437.

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Rajagopal, K. R. A theoretical and numerical study of the flow of granular materials down an inclined plane. Final report. Office of Scientific and Technical Information (OSTI), December 1995. http://dx.doi.org/10.2172/205187.

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Smith, Adam, and Megan Tooker. Character-defining features of the Buffalo south mole (south pier), NY. Engineer Research and Development Center (U.S.), April 2023. http://dx.doi.org/10.21079/11681/46743.

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The US Congress codified the National Historic Preservation Act of 1966 (NHPA), the nation’s most effective cultural resources legislation to date, mostly through establishing the National Register of Historic Places (NRHP). The NHPA requires federal agencies to address their cultural resources, which are defined as any prehistoric or historic district, site, building, structure, or object. The precursor to the Corps of Engineers erected the mole (a.k.a., the south pier) in the early 1820s at the entrance to the Buffalo harbor. The area on top of and surrounding the mole was modified through the past two hundred years, many of the character-defining features remain including the stone retaining walls, talus, stairs, and lighthouse identified in plans and drawings from the period of construction. Notably lost is the stone tow path, or banquette, and the stone incline on the south side of the mole is no longer visible. The researchers recommend a period of significance of c. 1820 through 1972 (50 years) since the mole has continued its original use of keeping the entrance to the Buffalo River open for freight and recreational boating traffic through the present day.

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Rajagopal, K. R. Numerical study of the flow of granular materials down an inclined plane. Quarterly report, October 1, 1993--February 28, 1994. Office of Scientific and Technical Information (OSTI), May 1994. http://dx.doi.org/10.2172/10146891.

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Rajagopal, K. R. Numerical study of the flow of granular materials down an inclined plane. Quarterly report, October 1, 1994--January 30, 1995. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/93616.

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Rajagopal, K. R. A theoretical and numerical study of the flow of granular materials down an inclined plane. [Quarterly progress report, January--March 1995]. Office of Scientific and Technical Information (OSTI), September 1995. http://dx.doi.org/10.2172/106670.

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Rajagopal, K. R. Stability analysis for the flow of granular materials down an inclined plane using kinetic model. Quarterly report, October 1, 1992--December 31, 1992. Office of Scientific and Technical Information (OSTI), December 1992. http://dx.doi.org/10.2172/10163821.

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Rajagopal, K. R. Stability analysis for the flow of granular materials down an inclined plane using kinetic model. Quarterly report, January 1, 1993--March 31, 1993. Office of Scientific and Technical Information (OSTI), July 1993. http://dx.doi.org/10.2172/10163832.

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