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321.
This article studies the analytical solutions for two thin film flow problems on a moving belt. The reduction of the equations
follows from their Lie point symmetry generators and conservation laws which are valid for the considered boundary conditions
also. The solutions for the two problems are developed using the correct and nonlinear boundary condition for the free surface.
Mathematica is adopted for some of the analysis. 相似文献
322.
The aim of this exploration is to discuss the radiative effects on the three-dimensional magnetohydrodynamic (MHD) flow of an Eyring Powell fluid. The flow is induced by a stretching surface. Resulting nonlinear analysis is carried out for series solution. Exact solutions of arising problems are displayed. Graphical outcomes of involved parameters are presented. 相似文献
323.
This work is concerned with the unsteady rotating flow of the third grade fluid over a suddenly moving plate in its own plane. The non-linear problem governing the flow has been solved numerically. The influence of material parameter of third grade fluid and rotation upon the velocity has been discussed. 相似文献
324.
The magnetohydrodynamic (MHD) flow induced by non‐coaxial rotation of porous disk and a third grade fluid at infinity is investigated. The disk is moving with uniform acceleration and rotating with a uniform angular velocity. Numerical solution of the governing nonlinear initial and boundary value problem is obtained. The effects of physical parameters on the velocity profiles are examined in detail. The present study shows that the constant acceleration part has a greater influence than the time part of the assumed variable velocity of the disk. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
325.
The effect of slip condition on the flow of third order fluid past a porous plate with variable suction is investigated. Perturbation
solution of the resulting problem is derived. Several limiting solutions have been deduced. Graphs are plotted and discussed. 相似文献
326.
This Letter looks at the exact solution for the thin film flow of an Oldroyd 8-constant fluid down a vertical cylinder. The arising nonlinear differential equation is first integrated analytically and then solved numerically. The effects of pertinent fluid parameters on the velocity are seen. 相似文献
327.
Peristaltic flow of Johnson-Segalman fluid in asymmetric channel with convective boundary conditions
This work is concerned with the peristaltic transport of the Johnson-Segalman fluid in an asymmetric channel with convective boundary conditions. The mathematical modeling is based upon the conservation laws of mass, linear momentum, and energy. The resulting equations are solved after long wavelength and low Reynolds number are used. The results for the axial pressure gradient, velocity, and temperature profiles are obtained for small Weissenberg number. The expressions of the pressure gra-dient, velocity, and temperature are analyzed for various embedded parameters. Pumping and trapping phenomena are also explored. 相似文献
328.
This paper studies the effects of a second‐grade fluid on the flow and heat transfer characteristics in a divergent/convergent channel. The momentum and energy equations are first given in a nondimensional form and then solved analytically using the method of homotopy analysis method. Convergence of derived series solutions is shown. Graphical results for the velocity and the temperatures are presented and discussed for various emerging parameters. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
329.
330.
R.J. Moitsheki T. Hayat M.Y. Malik 《Nonlinear Analysis: Real World Applications》2010,11(5):3287-3294
This study investigates the exact solutions of a nonlinear fin problem with temperature-dependent thermal conductivity and the heat transfer coefficient. Both the conduction and heat transfer terms are given by the same power law in one case and the distinct power law in the other. Classical Lie symmetry techniques are employed to construct the exact solutions which satisfy the realistic boundary conditions. The effects of the physical applicable parameters such as the thermo-geometric fin parameter and the fin efficiency are analyzed. 相似文献