Effects of thermal radiation on Eyring–Powell fluid flow and heat transfer over a power-law stretching permeable surface

Abstract

The main objective of this paper is to investigate the effects of thermal radiation on Eyring–Powell fluid flowing over a power-law stretching sheet in presence of suction/blowing. Similarity transformations are used to find the self-similar form of the governing equations. It is established that for a particular value of power-law stretching velocity self-similar solutions exist for the problem. Shooting technique is applied for solving numerically the reduced ordinary differential equations. The effects of fluid parameters, suction/blowing parameter on velocity, skin friction co-efficient, temperature, and wall temperature gradient are analyzed and presented through tables and graphs as far as practicable. The effect of radiation parameter on wall temperature gradient is presented graphically. Velocity decreases with the increasing values of one of the fluid parameter and increases with increasing values of the other fluid parameter. Velocity and momentum boundary layer thickness decrease with the increasing values of suction/blowing parameter. For one fluid parameter, the absolute values of skin friction co-efficient decrease but the absolute values of temperature gradient at the wall increase. On the other hand, reverse trend is noted for other fluid parameter. The values of wall temperature gradient decrease with increasing Prandtl number and radiation parameter. Dimensionless temperature and thermal boundary layer thickness decrease with rise in Prandtl number, radiation parameter, and suction/blowing parameter.

Keywords:

• Eyring–Powell fluid model
• boundary layer flows
• power-law stretching sheet
• radiation effect
• heat transfer
• suction/blowing

Acknowledgments

Thanks are indeed due to the reviewers for their constructive suggestions which helped a lot for the improvement of the quality of the paper.