MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation

The unsteady two-dimensional flow of a MHD non-Newtonian Maxwell fluid over a stretching surface with a prescribed surface temperature in the presence of a heat source/sink is investigated. Similarity solutions for the governing equations are obtained. The transformed boundary layer equations are then solved numerically by using the shooting method. Fluid velocity initially decreases with the increasing unsteadiness parameter, and temperature decreases significantly due to unsteadiness. It is also found that the fluid velocity decreases with the increasing magnetic parameter. Increasing the Maxwell parameter values has the effect of suppressing the velocity field and increasing the temperature.

https://iopscience.iop.org/article/10.1088/0256-307X/29/5/054703/pdf

Heat Transfer Analysis of the Unsteady Flow of a Maxwell Fluid over a Stretching Surface in the Presence of a Heat Source/Sink

Effect of aligned magnetic field on liquid thin film flow of magnetic-nanofluids embedded with graphene nanoparticles

In the present investigation we have analyzed the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface. The effects of thermal radiation are carried out for two cases of heat transfer analysis known as (1) Prescribed exponential order surface temperature (PEST) and (2) Prescribed exponential order heat flux (PEHF). The highly nonlinear coupled partial differential equations of Jeffrey fluid flow along with the energy equation are simplified by using similarity transformation techniques based on boundary layer assumptions. The reduced similarity equations are then solved analytically by the homotopy analysis method (HAM). The convergence of the HAM series solution is obtained by plotting $\hbar$ -curves for velocity and temperature. The effects of physical parameters on the velocity and temperature profiles are examined by plotting graphs.

Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface

The effects of variable viscosity and thermal conductivity on the flow and heat transfer in a laminar liquid film on a horizontal shrinking/stretching sheet are analyzed. The similarity transformation reduces the time independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The resulting five-parameter problem is solved by the homotopy perturbation method. The results are presented graphically to interpret various physical parameters appearing in the problem.

I.-Chung Liu

Papers

Heat transfer in a liquid film on an unsteady stretching sheet