Navier slip effect on the thermal-flow of Walters’ liquid B flow due to porous stretching/shrinking with heat and mass transfer

Abstract

The current work investigates the steady, 2D laminar flow for effect of mass transpiration and Navier slip on the flow of Walters’ liquid B flow due to porous stretching/shrinking with heat and mass transfer. The governing equations which are a set of highly nonlinear partial differential equations are converted into a set of highly nonlinear ordinary differential equations by adopting similarity transformations and solved analytically to get velocity solution exponential form. Furthermore, the heat transfer in the flow is balanced with heat source/sink, and solved analytically to obtain solutions for temperature and mass transfer in terms of hypergeometric function upon considering the two types of boundary conditions, prescribed power law surface temperature (PST) and prescribed power law heat flux (PHF), prescribed power law surface concentration (PSC) and prescribed mass flux (PMF). The effect of mass transfer, porous media, Reynolds number, viscoelastic parameter and Navier slip on momentum and effect of Prandtl number, radiation parameter, and Schmidt number on heat and mass transfer is studied. The results are compared with previous works and were well matched with those works. Present analysis of heat and mass transfer with porous media is motivated by a wide range of technological/engineering applications which includes ground pollution by chemicals which are non-Newtonian like lubricants and polymers, in the treatment of sewage sludge in drying beds and in liquid -based systems involving stretchable/shrinkable materials.

Keywords

• Porous media
• Viscoelastic fluid
• Radiation
• Mass transpiration
• Navier slip
• Shrinking/stretching sheet