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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018019655
pages 569-582

THE FALKNER–SKAN FLOW WITH VARIABLE VISCOSITY AND NONLINEAR ROSSELAND THERMAL RADIATION

Asterios Pantokratoras
School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
Tiegang Fang
Department of Mechanical and Aerospace Engineering, North Carolina State University, 911 Oval Drive–Campus Box 7910, Raleigh, NC 27695, USA

ABSTRACT

A steady laminar boundary-layer flow over a wedge in the presence of nonlinear Rosseland radiation is investigated. The fluid viscosity is considered variable and assumed to be a function of temperature. Similar governing equations are obtained using a suitable transformation and solved by the Runge–Kutt a method. The problem is governed by Prandtl number, surface temperature parameter, viscosity parameter, exponent parameter, and radiation parameter, and the influence of these parameters on the results is presented in tables and figures. A new radiation parameter is introduced which leads to an asymptotic state not found until now.


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