Log in

Relevant bibliographies by topics / Blasius equation / Journal articles

To see the other types of publications on this topic, follow the link: Blasius equation.

Journal articles on the topic 'Blasius equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 June 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Blasius equation.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Benlahsen, M., M. Guedda, and R. Kersner. "The Generalized Blasius equation revisited." Mathematical and Computer Modelling 47, no. 9-10 (2008): 1063–76. http://dx.doi.org/10.1016/j.mcm.2007.06.019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Makhfi, Abdelali, and Rachid Bebbouchi. "On the generalized Blasius equation." Afrika Matematika 31, no. 5-6 (2020): 803–11. http://dx.doi.org/10.1007/s13370-020-00762-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Manisha Patel, Hema Surati, and M. G. Timol. "Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer." Mathematical Journal of Interdisciplinary Sciences 9, no. 2 (2021): 35–41. http://dx.doi.org/10.15415/mjis.2021.92004.

Full text

Abstract:

Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.MSC 2020 No.: 76A05, 76D10, 76M99

APA, Harvard, Vancouver, ISO, and other styles

4

He, Jihuan. "Approximate analytical solution of Blasius' equation." Communications in Nonlinear Science and Numerical Simulation 3, no. 4 (1998): 260–63. http://dx.doi.org/10.1016/s1007-5704(98)90046-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

He, Jihuan. "Approximate analytical solution of Blasius' equation." Communications in Nonlinear Science and Numerical Simulation 4, no. 1 (1999): 75–78. http://dx.doi.org/10.1016/s1007-5704(99)90063-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Xu, Ding, Jinglei Xu, and Gongnan Xie. "Revisiting Blasius Flow by Fixed Point Method." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/953151.

Full text

Abstract:

The well-known Blasius flow is governed by a third-order nonlinear ordinary differential equation with two-point boundary value. Specially, one of the boundary conditions is asymptotically assigned on the first derivative at infinity, which is the main challenge on handling this problem. Through introducing two transformations not only for independent variable bur also for function, the difficulty originated from the semi-infinite interval and asymptotic boundary condition is overcome. The deduced nonlinear differential equation is subsequently investigated with the fixed point method, so the original complex nonlinear equation is replaced by a series of integrable linear equations. Meanwhile, in order to improve the convergence and stability of iteration procedure, a sequence of relaxation factors is introduced in the framework of fixed point method and determined by the steepest descent seeking algorithm in a convenient manner.

APA, Harvard, Vancouver, ISO, and other styles

7

Bougoffa, Lazhar, and Abdul-Majid Wazwaz. "New approximate solutions of the Blasius equation." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 7 (2015): 1590–99. http://dx.doi.org/10.1108/hff-08-2014-0263.

Full text

Abstract:

Purpose – The purpose of this paper is to propose a reliable treatment for studying the Blasius equation, which arises in certain boundary layer problems in the fluid dynamics. The authors propose an algorithm of two steps that will introduce an exact solution to the equation, followed by a correction to that solution. An approximate analytic solution, which contains an auxiliary parameter, is obtained. A highly accurate approximate solution of Blasius equation is also provided by adding a third initial condition y ' ' (0) which demonstrates to be quite accurate by comparison with Howarth solutions. Design/methodology/approach – The approach consists of two steps. The first one is an assumption for an exact solution that satisfies the Blasius equation, but does not satisfy the given conditions. The second step depends mainly on using this assumption combined with the given conditions to derive an accurate approximation that improves the accuracy level. Findings – The obtained approximation shows an enhancement over some of the existing techniques. Comparing the calculated approximations confirm the enhancement that the derived approximation presents. Originality/value – In this work, a new approximate analytical solution of the Blasius problem is obtained, which demonstrates to be quite accurate by comparison with Howarth solutions.

APA, Harvard, Vancouver, ISO, and other styles

8

Liu, Yucheng, and Sree N. Kurra. "Solution of Blasius Equation by Variational Iteration." Journal Applied Mathematics 1, no. 1 (2012): 24–27. http://dx.doi.org/10.5923/j.am.20110101.03.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

He, Ji-Huan. "A simple perturbation approach to Blasius equation." Applied Mathematics and Computation 140, no. 2-3 (2003): 217–22. http://dx.doi.org/10.1016/s0096-3003(02)00189-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Fang, Tiegang, Fang Guo, and Chia-fon F. Lee. "A note on the extended Blasius equation." Applied Mathematics Letters 19, no. 7 (2006): 613–17. http://dx.doi.org/10.1016/j.aml.2005.08.010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Mutuk, Halil. "A Neural Network Study of Blasius Equation." Neural Processing Letters 51, no. 3 (2020): 2179–94. http://dx.doi.org/10.1007/s11063-019-10184-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Kühl, Niklas, Peter Marvin Müller, and Thomas Rung. "Continuous adjoint complement to the Blasius equation." Physics of Fluids 33, no. 3 (2021): 033608. http://dx.doi.org/10.1063/5.0037779.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Hogarth, W. L., and J. Y. Parlange. "Solving the Boussinesq equation using solutions of the Blasius equation." Water Resources Research 35, no. 3 (1999): 885–87. http://dx.doi.org/10.1029/1998wr900082.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Ishimura, Naoyuki, and Shin'ya Matsui. "On blowing-up solutions of the Blasius equation." Discrete & Continuous Dynamical Systems - A 9, no. 4 (2003): 985–92. http://dx.doi.org/10.3934/dcds.2003.9.985.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Lin, Jianguo. "A new approximate iteration solution of Blasius equation." Communications in Nonlinear Science and Numerical Simulation 4, no. 2 (1999): 91–94. http://dx.doi.org/10.1016/s1007-5704(99)90017-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Parand, K., Mehdi Dehghan, and A. Pirkhedri. "Sinc-collocation method for solving the Blasius equation." Physics Letters A 373, no. 44 (2009): 4060–65. http://dx.doi.org/10.1016/j.physleta.2009.09.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

IRVINE, THOMAS F. "A GENERALIZED BLASIUS EQUATION FOR POWER LAW FLUIDS." Chemical Engineering Communications 65, no. 1 (1988): 39–47. http://dx.doi.org/10.1080/00986448808940242.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Ogunlaran, O., and H. Sagay-Yusuf. "Adomain Sumudu Transform Method for the Blasius Equation." British Journal of Mathematics & Computer Science 14, no. 3 (2016): 1–8. http://dx.doi.org/10.9734/bjmcs/2016/23104.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Wang, Lei. "A new algorithm for solving classical Blasius equation." Applied Mathematics and Computation 157, no. 1 (2004): 1–9. http://dx.doi.org/10.1016/j.amc.2003.06.011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Tapdigoglu, Ramiz, and Berikbol T. Torebek. "On a Non-linear Boundary-Layer Problem for the Fractional Blasius-Type Equation." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 5 (2018): 493–98. http://dx.doi.org/10.1515/ijnsns-2017-0018.

Full text

Abstract:

AbstractIn this paper, we consider a non-linear sequential differential equation with Caputo fractional derivative of Blasius type and we reduce the problem to the equivalent non-linear integral equation. We prove the complete continuity of the non-linear integral operator. The theorem on the existence of a solution of the problem for the Blasius equation of fractional order is also proved.

APA, Harvard, Vancouver, ISO, and other styles

21

SALAMA, A. A., and A. A. MANSOUR. "FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS." International Journal of Modern Physics C 16, no. 05 (2005): 757–80. http://dx.doi.org/10.1142/s0129183105007467.

Full text

Abstract:

In this article, we propose a high order method for solving steady and unsteady two-dimensional laminar boundary-layer equations. This method is convergent of sixth-order of accuracy. It is shown that this method is unconditionally stable. The unsteady separated stagnation point flow, the Falkner–Skan equation and Blasius equation are considered as special cases of these equations. Numerical experiments are given to illustrate our method and its convergence.

APA, Harvard, Vancouver, ISO, and other styles

22

Ahmad, Iftikhar, and Muhammad Bilal. "Numerical Solution of Blasius Equation through Neural Networks Algorithm." American Journal of Computational Mathematics 04, no. 03 (2014): 223–32. http://dx.doi.org/10.4236/ajcm.2014.43019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Arikoglu, Aytac, and Ibrahim Ozkol. "Inner‐outer matching solution of Blasius equation by DTM." Aircraft Engineering and Aerospace Technology 77, no. 4 (2005): 298–301. http://dx.doi.org/10.1108/00022660510606367.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Marinca, Vasile, and Nicolae Herişanu. "The Optimal Homotopy Asymptotic Method for solving Blasius equation." Applied Mathematics and Computation 231 (March 2014): 134–39. http://dx.doi.org/10.1016/j.amc.2013.12.121.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Basu, B., E. Foufoula-Georgiou, and A. S. Sharma. "Chaotic behavior in the flow along a wedge modeled by the Blasius equation." Nonlinear Processes in Geophysics 18, no. 2 (2011): 171–78. http://dx.doi.org/10.5194/npg-18-171-2011.

Full text

Abstract:

Abstract. The Blasius equation describes the properties of steady-state two dimensional boundary layer forming over a semi-infinite plate parallel to a unidirectional flow field. The flow is governed by a modified Blasius equation when the surface is aligned along the flow. In this paper, we demonstrate using numerical solution, that as the wedge angle increases, bifurcation occurs in the nonlinear Blasius equation and the dynamics becomes chaotic leading to non-convergence of the solution once the angle exceeds a critical value of 22°. This critical value is found to be in agreement with experimental results showing the development of shock waves in the medium and also with analytical results showing multiple solutions for wedge angles exceeding a critical value. Finally, we provide a derivation of the equation governing the boundary layer flow for wedge angles exceeding the critical angle at the onset of chaos.

APA, Harvard, Vancouver, ISO, and other styles

26

Roman-Miller, Lance, and Philip Broadbridge. "Exact Integration of Reduced Fisher's Equation, Reduced Blasius Equation, and the Lorenz Model." Journal of Mathematical Analysis and Applications 251, no. 1 (2000): 65–83. http://dx.doi.org/10.1006/jmaa.2000.7020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Akgül, Ali. "A novel method for the solution of Blasius equation in semi-infinite domains." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 7, no. 2 (2017): 225–33. http://dx.doi.org/10.11121/ijocta.01.2017.00363.

Full text

Abstract:

Many known methods fail in the attempt to get analytic solutions of Blasius-type equations. In this work, we apply the reproducing kernel method for ivestigating Blasius equations with two different boundary conditions in semi-infinite domains. Convergence analysis of the reproducing kernel method is given. The numerical approximations are presented and compared with some other techniques, Howarth's numerical solution and Runge-Kutta Fehlberg method.

APA, Harvard, Vancouver, ISO, and other styles

28

Rani, Monika, Vikramjeet Singh, and Rakesh Goyal. "Solution for Celebrated Blasius Problem Using Homotopy Perturbation Method." Advanced Science, Engineering and Medicine 12, no. 2 (2020): 284–87. http://dx.doi.org/10.1166/asem.2020.2499.

Full text

Abstract:

In this manuscript, we have analyzed Celebrated Blasius boundary problem with moving wall or high speed 2D laminar viscous flow over gasifying flat plate. To find the way out of this nonlinear differential equation, a version of semi-analytical homotopy perturbation method has been applied. It has been observed that the precision of the solution would be achieved with increasing approximations. On comparison with literature, our solution has been proven highly accurate and valid with faster rate of convergence. It has been revealed that the second order approximate solution of Blasius equation in terms of initial slope is obtained as 0.33315 reducing the error by 0.32%.

APA, Harvard, Vancouver, ISO, and other styles

29

Filobello-, U., H. Vazquez-Le, R. Castaneda-, et al. "An Approximate Solution of Blasius Equation by using HPM Method." Asian Journal of Mathematics & Statistics 5, no. 2 (2012): 50–59. http://dx.doi.org/10.3923/ajms.2012.50.59.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Asaithambi, Asai. "Numerical Solution of the Blasius Equation with Crocco-Wang Transformation." Journal of Applied Fluid Mechanics 9, no. 7 (2016): 2595–603. http://dx.doi.org/10.18869/acadpub.jafm.68.236.25583.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

khandelwal, Yogesh, Baba Alhaji Umar, and Padama Kumawat. "Solution of the Blasius Equation by using Adomain Mahgoub Transform." International Journal of Mathematics Trends and Technology 56, no. 5 (2018): 303–6. http://dx.doi.org/10.14445/22315373/ijmtt-v56p541.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Llibre, Jaume, and Claudia Valls. "On the Darboux integrability of Blasius and Falkner–Skan equation." Computers & Fluids 86 (November 2013): 71–76. http://dx.doi.org/10.1016/j.compfluid.2013.06.027.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Alao, F. I., A. J. Omowaye, A. I. Fagbade, and Babatunde O. Ajayi. "Optimal Homotopy Analysis of Blasius and Sakiadis Newtonian Flows over a Vertical Convective Porous Surface." International Journal of Engineering Research in Africa 28 (January 2017): 102–17. http://dx.doi.org/10.4028/www.scientific.net/jera.28.102.

Full text

Abstract:

In this article, a comparative analysis of free convective Blasius and Sakiadis flows of a viscous fluid over a vertical porous surface is presented. The relationship between the flow rate and pressure drop as the Newtonian fluid flows past a porous medium is linear; hence Darcy model is adopted. Suitable similarity variables are employed to transform the governing non-linear partial differential equations into a set of coupled non-linear ordinary differential equations. An approximate analytical solution of the coupled ordinary differential equation is obtained using Optimal Homotopy Analysis method (OHAM). The computational results for velocity and temperature profiles are shown graphically for various flow parameters and analyzed. The results show that an increase in convective parameter leads to increase in velocity and temperature profiles. Also, increasing buoyancy parameter increases the velocity profile and decreases the temperature profiles for both Sakiadis and Blasius flow. The temperature distribution at the maximum value of Prandtl in Sakiadis case is greater than the temperature distribution at the maximum value of Prandtl even in Blasius case.

APA, Harvard, Vancouver, ISO, and other styles

34

Bertolotti, F. P., Th Herbert, and P. R. Spalart. "Linear and nonlinear stability of the Blasius boundary layer." Journal of Fluid Mechanics 242 (September 1992): 441–74. http://dx.doi.org/10.1017/s0022112092002453.

Full text

Abstract:

Two new techniques for the study of the linear and nonlinear instability in growing boundary layers are presented. The first technique employs partial differential equations of parabolic type exploiting the slow change of the mean flow, disturbance velocity profiles, wavelengths, and growth rates in the streamwise direction. The second technique solves the Navier–Stokes equation for spatially evolving disturbances using buffer zones adjacent to the inflow and outflow boundaries. Results of both techniques are in excellent agreement. The linear and nonlinear development of Tollmien–Schlichting (TS) waves in the Blasius boundary layer is investigated with both techniques and with a local procedure based on a system of ordinary differential equations. The results are compared with previous work and the effects of non-parallelism and nonlinearly are clarified. The effect of nonparallelism is confirmed to be weak and, consequently, not responsible for the discrepancies between measurements and theoretical results for parallel flow. Experimental uncertainties, the adopted definition of the growth rate, and the transient initial evolution of the TS wave in vibrating-ribbon experiments probably cause the discrepancies. The effect of nonlinearity is consistent with previous weakly nonlinear theories. White nonlinear effects are small near branch I of the neutral curve, they are significant near branch II and delay or event prevent the decay of the wave.

APA, Harvard, Vancouver, ISO, and other styles

35

Lien-Tsai, Yu, and Chen Cha'o-Kuang. "The solution of the blasius equation by the differential transformation method." Mathematical and Computer Modelling 28, no. 1 (1998): 101–11. http://dx.doi.org/10.1016/s0895-7177(98)00085-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Mo, L.-F., S.-H. You, and J.-x. Yin. "Application of the method of weighted residuals to the Blasius equation." Journal of Physics: Conference Series 96 (February 1, 2008): 012193. http://dx.doi.org/10.1088/1742-6596/96/1/012193.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Prokop, R. M., W. H. Finlay, and P. Chen. "THE DEVELOPMENT AND LINEAR STABILITY OF ROTATING BOUNDARY LAYERS." Transactions of the Canadian Society for Mechanical Engineering 19, no. 4 (1995): 471–87. http://dx.doi.org/10.1139/tcsme-1995-0025.

Full text

Abstract:

In this study, the effect of Coriolis force on the development and linear stability of the boundary layer on a rotating flat plate is examined. The parabolized governing equations are solved using a Legendre spectral element method with a marching scheme. The shape of the velocity profile is a function of the nondimensional rotation rate Rox/Rex, where Rox is the rotation number and Rex is the Reynolds number. For a given value of Rox/Rex, the base flow is self-similar, but the shape of the velocity profile changes when Rox/Rex is varied. These results are confirmed by demonstrating that the governing partial differential equations can be reduced to one ordinary differential equation by similitude analysis. The linear stability of the boundary layer to spanwise perturbations is also considered. The non-Blasius shape of the base flow velocity profile does not have any appreciable effect on the growth rate of the vortices compared to that obtained with a Blasius profile for all Rox/Rex ≤ l×l0-4 considered. Thus, the rotational Görtler number Re1/4Rox1/2(δ/δB)3/2 (where δ and δB are the actual and Blasius boundary layer thicknesses respectively) is the appropriate parameter to describe the growth of the vortices.

APA, Harvard, Vancouver, ISO, and other styles

38

Smirnov, Sergey. "On Solutions for a Generalized Differential Equation Arising in Boundary Layer Problem." International Journal of Analysis 2014 (March 18, 2014): 1–4. http://dx.doi.org/10.1155/2014/472698.

Full text

Abstract:

We treat the existence and uniqueness of a solution for the generalized Blasius problem which arises in boundary layer theory. The shooting method is used in the proof of our main result. An example is included to illustrate the results.

APA, Harvard, Vancouver, ISO, and other styles

39

Aminikhah, Hossein. "Analytical Approximation to the Solution of Nonlinear Blasius’ Viscous Flow Equation by LTNHPM." ISRN Mathematical Analysis 2012 (February 29, 2012): 1–10. http://dx.doi.org/10.5402/2012/957473.

Full text

Abstract:

Laplace transform and new homotopy perturbation methods are adopted to study Blasius’ viscous flow equation analytically. The solutions approximated by the proposed method are shown to be precise as compared to the corresponding results obtained by Howarth’s numerical method. A high accuracy of the new method is evident.

APA, Harvard, Vancouver, ISO, and other styles

40

Khan, Majid, and Muhammad Asif Gondal. "Homotopy Perturbation Padé Transform Method for Blasius Flow Equation Using He’s Polynomials." International Journal of Nonlinear Sciences and Numerical Simulation 12, no. 1-8 (2011): 1–7. http://dx.doi.org/10.1515/ijnsns.2011.016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Miansari, M. O., M. E. Miansari, A. Barari, and G. Domairry. "Analysis of Blasius Equation for Flat-plate Flow with Infinite Boundary Value." International Journal for Computational Methods in Engineering Science and Mechanics 11, no. 2 (2010): 79–84. http://dx.doi.org/10.1080/15502280903563541.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Fang, Tiegang, Wei Liang, and Chia-fon F. Lee. "A new solution branch for the Blasius equation—A shrinking sheet problem." Computers & Mathematics with Applications 56, no. 12 (2008): 3088–95. http://dx.doi.org/10.1016/j.camwa.2008.07.027.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

El-Gamel, Mohamed, and Atallah El-Shenawy. "A numerical solution of Blasius equation on a semi-infinity flat plate." SeMA Journal 75, no. 3 (2017): 475–84. http://dx.doi.org/10.1007/s40324-017-0145-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Parand, K., and A. Taghavi. "Rational scaled generalized Laguerre function collocation method for solving the Blasius equation." Journal of Computational and Applied Mathematics 233, no. 4 (2009): 980–89. http://dx.doi.org/10.1016/j.cam.2009.08.106.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Lee, Zong-Yi. "Method of bilaterally bounded to solution blasius equation using particle swarm optimization." Applied Mathematics and Computation 179, no. 2 (2006): 779–86. http://dx.doi.org/10.1016/j.amc.2005.11.118.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Raić, Karlo. "Simplification of laminar boundary layer equations." Metallurgical and Materials Engineering 24, no. 2 (2018): 93–102. http://dx.doi.org/10.30544/347.

Full text

Abstract:

The laminar boundary layer theory has been involved in two domains of transport phenomena: (i) steady-state flow (via Blasius eq.) and (ii) unsteady state flow and/or nonflow (via Newton, Fourier and/or Fick’s equations). Listed partial differential equations with the similarity of solutions enable the substitution of the observed phenomena by only one-second order differential equation. Consequently, an approach established on the general polynomial solution is described. Numerical verification of the concept is presented. Experimental notifications are documented. Finally, the new simulation strategy is suggested.

APA, Harvard, Vancouver, ISO, and other styles

47

Childs, D. W., and J. K. Scharrer. "An Iwatsubo-Based Solution for Labyrinth Seals: Comparison to Experimental Results." Journal of Engineering for Gas Turbines and Power 108, no. 2 (1986): 325–31. http://dx.doi.org/10.1115/1.3239907.

Full text

Abstract:

The basic equations are derived for compressible flow in a labyrinth seal. The flow is assumed to be completely turbulent in the circumferential direction where the friction factor is determined by the Blasius relation. Linearized zeroth and first-order perturbation equations are developed for small motion about a centered position by an expansion in the eccentricity ratio. The zeroth-order pressure distribution is found by satisfying the leakage equation while the circumferential velocity distribution is determined by satisfying the momentum equation. The first-order equations are solved by a separation of variable solution. Integration of the resultant pressure distribution along and around the seal defines the reaction force developed by the seal and the corresponding dynamic coefficients. The results of this analysis are compared to published test results.

APA, Harvard, Vancouver, ISO, and other styles

48

Peker, Haldun, Onur Karaoğlu, and Galip Oturanç. "The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation." Mathematical and Computational Applications 16, no. 2 (2011): 507–13. http://dx.doi.org/10.3390/mca16020507.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Girgin, Zekeriya. "Solution of the Blasius and Sakiadis equation by generalized iterative differential quadrature method." International Journal for Numerical Methods in Biomedical Engineering 27, no. 8 (2009): 1225–34. http://dx.doi.org/10.1002/cnm.1354.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Lahmann, J. R., and M. Plum. "A computer-assisted instability proof for the Orr-Sommerfeld equation with Blasius profile." ZAMM 84, no. 3 (2004): 188–204. http://dx.doi.org/10.1002/zamm.200310093.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!