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3 International Journal of Applied Mechanics and Engineering

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Convective micropolar boundary layer flows over a wedge with constant surface heat flux

Kim Y. J., Kim T. A.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no spec.

147-153

In this study, the steady laminar boundary layer flow of micropolar fluids over a wedge has been examined with the constant heat flux boundary condition on the wedge surface. The similarity variables found by Falkner and Skan are employed to reduce the streamwise-dependence in the coupled nonlinear boundary layer equations. Numerical solutions are presented for the heat transfer characteristics using the fourth-order Runge-Kutta numerical procedure with shooting method. The micro-rotation velocity and temperature distributions across the boundary layer are plotted with different wedge angles and compared with the corresponding flow problems for a Newtonian fluid.

Free convection boundary layer flow on a horizontal circular cylinder with constant heat flux in a micropolar fluid

Nazar R., Amin N., Pop I.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 2

409-431

Numerical solutions for the steady laminar free convection boundary layer flow over a horizontal circular cylinder subjected to a constant surface heat flux in a micropolar fluid are presented in this paper. The governing boundary layer equations are first transformed into a non-dimensional form. These equations are then transformed into a set of nonsimilar boundary layers, which are solved numerically using a very efficient implicit finite-difference method known as the Keller-box scheme. The obtained solution for the material parameter K=0 (Newtonian fluid) and different values of the Prandtl number Pr are used to compare the accuracy of the present method with that known from the open literature. The results are shown to compare very well. The effects of various values of K on the velocity and temperature fields as well as on the wall temperature and local skin friction coefficient are presented through graphs and tables for Pr=0.72 and 1.

Transient natural convection in a vertical channel

Paul T., Jha B. K., Singh A. K.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no 4

913-922

This paper describes a theoretical analysis of transient motion of a viscous incompressible fluid in a vertical channel. The motion of the fluid is caused by the buoyancy force arising from the temperature gradient as a result of constant heat flux at one wall and an adiabatic condition on the other wall. Expressions for the velocity and temperature fields are derived with the help of the Laplace transform technique. The influence of the various parameters is extensively discussed with the help of graphs. It has been observed that the temperature is not influenced by the presence of an adiabatic condition on the other plate for large values of the Prandtl number.