Academic literature on the topic 'Hydromagnetic flow'

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Journal articles on the topic "Hydromagnetic flow"

1

WILLIS, A. P., and C. F. BARENGHI. "Hydromagnetic Taylor–Couette flow: numerical formulation and comparison with experiment." Journal of Fluid Mechanics 463 (July 25, 2002): 361–75. http://dx.doi.org/10.1017/s0022112002001040.

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Taylor–Couette flow in the presence of a magnetic field is a problem belonging to classical hydromagnetics and deserves to be more widely studied than it has been to date. In the nonlinear regime the literature is scarce. We develop a formulation suitable for solution of the full three-dimensional nonlinear hydromagnetic equations in cylindrical geometry, which is motived by the formulation for the magnetic field. It is suitable for study at finite Prandtl numbers and in the small Prandtl number limit, relevant to laboratory liquid metals. The method is used to determine the onset of axisymmetric Taylor vortices, and finite-amplitude solutions. Our results compare well with existing linear and nonlinear hydrodynamic calculations and with hydromagnetic experiments.
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2

El-Kabeir, S. MM. "Hiemenz flow of a micropolar viscoelastic fluid in hydromagnetics." Canadian Journal of Physics 83, no. 10 (2005): 1007–17. http://dx.doi.org/10.1139/p05-039.

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Boundary-layer equations are solved for the hydromagnetic problem of two-dimensional Hiemenz flow, for a micropolar, viscoelastic, incompressible, viscous, electrically conducting fluid, impinging perpendicularly onto a plane in the presence of a transverse magnetic field. The governing system of equations is first transformed into a dimensionless form. The resulting equations then are solved by using the Runge–Kutta numerical integration procedure in conjunction with shooting technique. Numerical solutions are presented for the governing momentum and angular-momentum equations. The proposed approximate solution, although simple, is nevertheless sufficiently accurate for the entire investigated range of values of the Hartman number. The effect of micropolar and viscoelastic parameters on Hiemenz flow in hydromagnetics is discussed.PACS No.: 46.35
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3

Rafique, Anwar, Misiran, et al. "Hydromagnetic Flow of Micropolar Nanofluid." Symmetry 12, no. 2 (2020): 251. http://dx.doi.org/10.3390/sym12020251.

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Similar to other fluids (Newtonian and non-Newtonian), micropolar fluid also exhibits symmetric flow and exact symmetric solution similar to the Navier–Stokes equation; however, it is not always realizable. In this article, the Buongiorno mathematical model of hydromagnetic micropolar nanofluid is considered. A joint phenomenon of heat and mass transfer is studied in this work. This model indeed incorporates two important effects, namely, the Brownian motion and the thermophoretic. In addition, the effects of magnetohydrodynamic (MHD) and chemical reaction are considered. The fluid is taken over a slanted, stretching surface making an inclination with the vertical one. Suitable similarity transformations are applied to develop a nonlinear transformed model in terms of ODEs (ordinary differential equations). For the numerical simulations, an efficient, stable, and reliable scheme of Keller-box is applied to the transformed model. More exactly, the governing system of equations is written in the first order system and then arranged in the forms of a matrix system using the block-tridiagonal factorization. These numerical simulations are then arranged in graphs for various parameters of interest. The physical quantities including skin friction, Nusselt number, and Sherwood number along with different effects involved in the governing equations are also justified through graphs. The consequences reveal that concentration profile increases by increasing chemical reaction parameters. In addition, the Nusselt number and Sherwood number decreases by decreasing the inclination.
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4

Fearn, D. R. "Hydromagnetic flow in planetary cores." Reports on Progress in Physics 61, no. 3 (1998): 175–235. http://dx.doi.org/10.1088/0034-4885/61/3/001.

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5

Lucas, R. J. "On the stability of hydromagnetic flow." Journal of Plasma Physics 35, no. 1 (1986): 145–50. http://dx.doi.org/10.1017/s002237780001120x.

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The linear stability of steady flow of an inhomogeneous, incompressible hydromagnetic fluid is considered. Circle theorems which provide bounds on the complex eigenfrequencies of the unstable normal modes are obtained. Sufficient conditions for stability follow in a number of special cases.
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6

WILLIS, A. P., and C. F. BARENGHI. "Hydromagnetic Taylor–Couette flow: wavy modes." Journal of Fluid Mechanics 472 (November 30, 2002): 399–410. http://dx.doi.org/10.1017/s0022112002002409.

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We investigate magnetic Taylor–Couette flow in the presence of an imposed axial magnetic field. First we calculate nonlinear steady axisymmetric solutions and determine how their strength depends on the applied magnetic field. Then we perturb these solutions to find the critical Reynolds numbers for the appearance of wavy modes, and the related wave speeds, at increasing magnetic field strength. We find that values of imposed magnetic field which alter only slightly the transition from circular-Couette flow to Taylor-vortex flow, can shift the transition from Taylor-vortex flow to wavy modes by a substantial amount. The results are compared to those for onset in the absence of a magnetic field.
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7

Vajravelu, K., and J. Rivera. "Hydromagnetic flow at an oscillating plate." International Journal of Non-Linear Mechanics 38, no. 3 (2003): 305–12. http://dx.doi.org/10.1016/s0020-7462(01)00063-4.

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8

Vajravelu, K. "An Exact Periodic Solution of a Hydromagnetic Flow in a Horizontal Channel." Journal of Applied Mechanics 55, no. 4 (1988): 981–83. http://dx.doi.org/10.1115/1.3173751.

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An exact periodic solution for the hydromagnetic unsteady flow of an incompressible fluid with constant properties is obtained. The hydrodynamic (HD) and the hydromagnetic (HM) cases are studied. The flow field here is a generalization of the well-known Couette flow, in which one wall is at rest and the other wall oscillates in its own plane about a constant mean velocity. In order to have some suggestions about the approximate solutions, the exact solution is compared with its own approximate form.
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9

Das, S., B. C. Sarkar, and R. N. Jana. "Hall Effects on Hydromagnetic Rotating Couette Flow." International Journal of Computer Applications 83, no. 9 (2013): 20–26. http://dx.doi.org/10.5120/14477-2770.

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10

HERRON, ISOM H. "ONSET OF INSTABILITY IN HYDROMAGNETIC COUETTE FLOW." Analysis and Applications 02, no. 02 (2004): 145–59. http://dx.doi.org/10.1142/s0219530504000059.

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The stability of viscous flow between rotating cylinders in the presence of a constant axial magnetic field is considered. The boundary conditions for general conductivities are examined. It is proved that the Principle of Exchange of Stabilities holds at zero magnetic Prandtl number, for all Chandrasekhar numbers, when the cylinders rotate in the same direction, the circulation decreases outwards, and the cylinders have insulating walls. The result holds for both the finite gap and the narrow gap approximation.
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