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1.
Similarity solutions for mixed convection boundary layer flow over a permeable horizontal flat plate
The effects of suction and injection on steady laminar mixed convection boundary layer flow over a permeable horizontal flat plate in a viscous and incompressible fluid is investigated in this paper. The similarity solutions of the governing boundary layer equations are obtained for some values of the suction and injection parameter f0, the constant exponent n of the wall temperature as well as the mixed convection parameter λ. The resulting system of nonlinear ordinary differential equations is solved numerically for both assisting and opposing flow regimes using a finite-difference scheme known as the Keller-box method. Numerical results for the reduced skin friction coefficient, the reduced local Nusselt number, and the velocity and temperature profiles are obtained for various values of the parameters considered. Dual solutions are found to exist for the opposing flow. 相似文献
2.
Numerical study of mixed convection flow of a micropolar fluid towards permeable vertical plate with convective boundary condition 下载免费PDF全文
Ch. RamReddy T. Pradeep D. Srinivasacharya 《Journal of Applied Analysis & Computation》2016,6(2):254-270
In this article, the mixed convective flow of a micropolar fluid along a permeable vertical plate under the convective boundary condition is analyzed. The scaling group of transformations is applied to get the similarity representation of the system of partial differential equations of the problem and then the resulting equations are solved by using Spectral Quasi-Linearisation Method. This study reveals that the dual solutions exists for certain values of mixed convection parameter. The outcomes are analyzed with dual solutions in detail. Effects of micropolar parameter, Biot number and suction/injection parameters on different flow profiles are discussed and depicted graphically. 相似文献
3.
Non-similar solution of a steady mixed convection flow over a horizontal flat plate in the presence of surface mass transfer (suction or injection) is obtained when there is power-law variation in surface temperature. The surface temperature is assumed to vary as a power of the axial coordinate measured from the leading edge of the plate. A non-similar mixed convection parameter is considered which covers the whole convection regime, namely from pure free convection to pure forced convection. Numerical results are reported here to account the effects of Prandtl number, surface temperature, surface mass transfer parameter (suction or injection) on velocity and temperature profiles, and skin friction and heat transfer coefficients. 相似文献
4.
The problem of steady laminar magnetohydrodynamic (MHD) mixed convection heat transfer about a vertical plate is studied numerically, taking into account the effects of Ohmic heating and viscous dissipation. A uniform magnetic field is applied perpendicular to the plate. The resulting governing equations are transformed into the non-similar boundary layer equations and solved using the Keller box method. Both the aiding-buoyancy mode and the opposing-buoyancy mode of the mixed convection are examined. The velocity and temperature profiles as well as the local skin friction and local heat transfer parameters are determined for different values of the governing parameters, mainly the magnetic parameter, the Richardson number, the Eckert number and the suction/injection parameter, fw. For some specific values of the governing parameters, the results agree very well with those available in the literature. Generally, it is determined that the local skin friction coefficient and the local heat transfer coefficient increase owing to suction of fluid, increasing the Richardson number, Ri (i.e. the mixed convection parameter) or decreasing the Eckert number. This trend reverses for blowing of fluid and decreasing the Richardson number or decreasing the Eckert number. It is disclosed that the value of Ri determines the effect of the magnetic parameter on the momentum and heat transfer. 相似文献
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A. Ishak J. H. Merkin R. Nazar I. Pop 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2008,70(3):100-123
The effects of suction/injection on the laminar mixed convection boundary-layer flow on a vertical wall with a prescribed
heat flux are considered. The conditions which allow the equations to be reduced to similarity form are derived and numerical
solutions of the resulting equations are obtained for a range of values of the suction/injection and buoyancy parameters.
Two specific cases, corresponding to a stagnation point flow and uniform wall heat flux, are treated in detail. Results are
presented in terms of the skin friction and wall temperature with a selection of velocity and temperature profiles also being
given. Dual solutions are found to exist for assisting flow, these are an addition to what has been reported previously for
opposing flows. Solutions for some limiting values of the parameters are also derived. 相似文献
7.
The present paper presents a numerical solution of flow and heat transfer outside a stretching permeable cylinder. The governing system of partial differential equations is converted to ordinary differential equations by using similarity transformations, which are then solved numerically using the Keller-box method. The main purpose of the present study is to investigate the effects of the governing parameters, namely the suction/injection parameter, Prandtl number, and Reynolds number on the velocity and temperature profiles as well as the skin friction coefficient and the Nusselt number. The results are shown graphically. The values of the skin friction coefficient and the Nusselt number are presented in tables. 相似文献
8.
A. Ishak J. H. Merkin R. Nazar I. Pop 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2008,59(1):100-123
The effects of suction/injection on the laminar mixed convection boundary-layer flow on a vertical wall with a prescribed
heat flux are considered. The conditions which allow the equations to be reduced to similarity form are derived and numerical
solutions of the resulting equations are obtained for a range of values of the suction/injection and buoyancy parameters.
Two specific cases, corresponding to a stagnation point flow and uniform wall heat flux, are treated in detail. Results are
presented in terms of the skin friction and wall temperature with a selection of velocity and temperature profiles also being
given. Dual solutions are found to exist for assisting flow, these are an addition to what has been reported previously for
opposing flows. Solutions for some limiting values of the parameters are also derived.
相似文献
9.
Basant K. Jha Clement A. Apere 《Communications in Nonlinear Science & Numerical Simulation》2013,18(8):1959-1969
This study presents the solution for the MHD transient Couette flow in an annulus formed by two concentric porous cylinders of infinite length. The fluid flow is induced by either the impulsive or the accelerated movements of the outer cylinder. A uniform magnetic field is assumed to be applied perpendicular to the direction of flow. General solution of the governing equations is obtained using a combination of Laplace transform and the Riemann-sum approximation method of Laplace inversion. The expressions for the skin friction at the two walls are obtained in both cases. The variations of the velocity and the skin friction with respect to the Hartmann number and suction/injection parameter have been discussed. It is found out that suction accelerates the flow whereas injection retards the flow. 相似文献
10.
In this paper we present numerical solutions to the unsteady convective boundary layer flow of a viscous fluid at a vertical stretching surface with variable transport properties and thermal radiation. Both assisting and opposing buoyant flow situations are considered. Using a similarity transformation, the governing time-dependent partial differential equations are first transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by a second order finite difference scheme known as the Keller-Box method. The numerical results thus obtained are analyzed for the effects of the pertinent parameters namely, the unsteady parameter, the free convection parameter, the suction/injection parameter, the Prandtl number, the thermal conductivity parameter and the thermal radiation parameter on the flow and heat transfer characteristics. It is worth mentioning that the momentum and thermal boundary layer thicknesses decrease with an increase in the unsteady parameter. 相似文献