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This article deals with the time dependent analysis of thermally conducting and Magneto- hydrodynamic (MHD) liquid film flow of a fourth order fluid past a vertical and vibratory plate. In this article have been developed for higher order complex nature fluids. The governing-equations have been modeled in the terms of nonlinear partial differential equations with the help of physical boundary circumstances. Two different analytical approachesi.e. Adomian decomposition method (ADM) and the optimal homotopy asymptotic method (OHAM), have been used for discoveryof the series clarification of the problems. Solutions obtained via two diversemethods have been compared using the graphs, tables and found an excellent contract. Variants of the embedded flow parameters in the solution have been analysed through the graphical diagrams. [ABSTRACT FROM AUTHOR]

In this paper, the flow of unsteady second grade fluid problem is examined between two vertical and oscillating plates. The parallel plates are oscillating. The heat transfer effect is taken on the plates. Optimal Homotopy Asymptotic Method (OHAM) is used for solution. Analytical solution is obtained. Effect of several physical parameters are studied as well as discussed in details. [ABSTRACT FROM AUTHOR]

Analysis of heat transfer is studied in magnetohydrodynamic (MHD) thin layer flow of an unsteady fourth grade fluid past a moving and oscillating vertical plate for lift and drainage problem. The governing equations are modelled in terms of nonlinear partial differential equations with some physical boundary conditions. Two different analytical methods, namely Adomian Decomposition Method (ADM) and the Optimal Homotopy Asymptotic Method (OHAM) are used for finding the series solution of the problem. The solutions obtained through two different techniques are compared using graphs and tables and found an excellent agreement. The variants of embedded flow parameters in the solution are analyzed through graphical illustrations. [ABSTRACT FROM AUTHOR]

The present study deals with the time dependent motion of magneto-hydrodynamics (MHD) flow of a third grade fluid model with heat transfer. The fluid motion is studied in a porous medium between two inclined and periodically oscillating plates. The governing equations are modeled in the form of nonlinear partial differential equations. The modeled problems are then solved with the help of ADM technique. The physical features of the non- Newtonian fluid model and temperature distribution are presented and discussed the effect of imbedded parameter like local Stock number St, non dimensional variables α, γ1, γ2, γ3, γ4, γ5, γ6 and third grade non-Newtonian parameter β is the non-Newtonian parameter during vibratory motion of fluid flow in a porous medium is the main feature of this work. [ABSTRACT FROM AUTHOR]

The problem of heat transfer hydro magnetic Oldroyd-B fluid in vertical oscillating belt has been investigated in unsteady state. The obtained model problems are solved for the exact analytic solutions using Optimal Homotopy Asymptotic Method (OHAM).Epressions for the temperature and velocity distribution with the mass flow rate are obtained. Heat transfer rate of the fluid at the belt is also calculated. These expressions are evaluated analytically for different values of the parameters. The effect of relevant parameters like κ1 relaxation time parameter, κ2 retardation time parameter, Ygravitational effect, M magnetic parameter, Br Brinkman and Pr Prandtl numbers on velocity and temperature fields has been studied and presented graphically. [ABSTRACT FROM AUTHOR]