Abstract
The unsteady laminar boundary layer flow along a vertical stationary plate was investigated by taking into account the viscous dissipation of non- Newtonian fluid in case of free convection particularly. The governing non-linear partial differential equations are transformed into ordinary differential equations using a similarity transformation. Transformed equations have been discretized by finite difference approximation. The effects of viscous dissipation on velocity and temperature profile with unsteady case dimensionless numbers such as, Prandtl number (<i>Pr</i>), Eckert number (<i>Ec</i>), Grashof number (Gr) and magnetic parameter (M) have been depicted. It is observed that the interaction between the viscous heating and the buoyancy force has a significant influence on the results. Small effects have been found for Eckert number (<i>Ec</i>). Eventually, skin fiction coefficient (<i>C<sub>f</sub></i>) and heat transfer rate (<i>Nu</i>) are presented in tabular form for engineering studies.
Highlights
From the age of industrial revolution, the study of nonNewtonian fluid flow has become an important matter for the applicants
The interaction between the viscous heating and the buoyancy force has a strong influence on the results
Buoyancy force reduces the thickness of velocity boundary layer
Summary
From the age of industrial revolution, the study of nonNewtonian fluid flow has become an important matter for the applicants. Kishan and Sashidha Reddy [14] studied the momentum and heat transfer in laminar boundary layer flow of non- Newtonian fluids past a semi-infinite flat plates with the thermal dispersion in the presence of a uniform magnetic field for both the cases of static plate and continuous moving plate. C. Saha et al [23] investigated the effect of viscous dissipation on MHD free convection flow heat and mass transfer of non-Newtonian fluids along a continuously moving stretching sheet. Mostafa et al [24] studied combined effect of viscous dissipation and radiation on unsteady free convective non-Newtonian fluid along a continuously moving vertically stretched surface with no-slip phenomena. An analysis has been carried out to study the effect of unsteady free convection boundary layer flow of non-Newtonian fluid along a vertically stretched surface with viscous dissipation in the presence of very low magnetic field
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