Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier's law and Darcy's law Academic Article

abstract

• 2015 . We present an investigation for coupled flow and heat transfer of a generalized fractional Maxwell fluid in a porous medium between two infinite parallel plates. Unlike most classical works, the temperature dependent fluid properties (variable fluid viscosity and thermal conductivity) are taken into account by modified fractional Fourier's law and Darcy's law to describe the constitutive relations in highly coupled velocity and temperature fields in porous medium. The fractional governing equations are solved numerically using implicit finite difference method based on non-shifted Grnwald formula. The effects of pertinent physical parameters on the velocity and temperature fields are presented graphically and analyzed.

authors

• Chen, Goong

published proceedings

• COMPUTERS & FLUIDS

author list (cited authors)

• Li, C., Zheng, L., Zhang, X., & Chen, G.

citation count

• 36

complete list of authors

• Li, Chunrui||Zheng, Liancun||Zhang, Xinxin||Chen, Goong

publication date

• February 2016

publisher

• Elsevier  Publisher

published in

• Computers and Fluids  Journal

keywords

• Flow And Heat Transfer
• Fractional Darcy's Law
• Fractional Fourier's Law
• Fractional Maxwell Fluid
• Variable Fluid Properties

Digital Object Identifier (DOI)

• 10.1016/j.compfluid.2015.10.021

start page

• 25

end page

• 38

volume

• 125

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.compfluid.2015.10.021