Effect of radiation and Navier slip boundary of Walters' liquid B flow over a stretching sheet in a porous media. (December 2018)

• Record Type: Journal Article
• Authors: Mahabaleshwar, U.S.; Sarris, Ioannis E.; Lorenzini, Giulio
• Is Part Of: International journal of heat and mass transfer. Volume 127(2018)Part A
• Page Start: 1327
• Page End: 1337
• Publication Date: 2018-12
• Subjects: Boundary layer -- Nonlinear ODE -- Stretching boundary -- Porous media -- Navier boundary condition -- Walters' liquid B -- Radiation heat transfer -- Kummers' function -- Viscoelastic fluid; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2018.02.084
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The heat transfer flow of a Walters' liquid B in a porous medium with Navier slip is investigated. The physical problem is modelled into nonlinear PDE's to ODE's via similarity transformation. The analytical solutions derived for velocity and temperature fields by Kummer's function. Temperature profiles are analyzed for two type of boundary heating processes namely PST and PHF. The temperature distribution inside the stretching sheet is found to be controlled by Pr, NR and NI . Abstract: This paper investigates the steady-state momentum and radiation heat transfer flow of a viscoelastic fluid in a porous media in the presence of a linear Navier slip boundary condition. The velocity of the fluid over the linear stretching sheet is varied linearly with the axial distance while a Walters' liquid-B model is assumed for the viscosity. A similarity transformation reduces the Navier–Stokes equations to a set of partial differential equations that are converted into ordinary differential equations and solved analytically for the velocity. Moreover, heat is balanced between a temperature dependent heat source and radiation and leads to a differential equation with variable coefficients. The temperature equation is transformed to a confluent hypergeometric differential equation using the Rosseland approximation for the radiation and solved analytically. Results are discussed for two boundary conditions of the sheet, the prescribed surface temperature and the wall heat flux. Parameters like the Reynolds number, the viscoelastic parameter and the boundary slip parameter are found to determine the flow field. In addition, the Prandtl number, the radiation number, the wall temperature and the heat source/sink parameters are found to control the temperature distribution inside the stretching sheet.