Abstract
This work is concerned with applying the fractional calculus approach to the magnetohydrodynamic (MHD) pipe flow of a fractional generalized Burgers’ fluid in a porous space by using modified Darcy’s relationship. The fluid is electrically conducting in the presence of a constant applied magnetic field in the transverse direction. Exact solution for the velocity distribution is developed with the help of Fourier transform for fractional calculus. The solutions for a Navier–Stokes, second grade, Maxwell, Oldroyd-B and Burgers’ fluids appear as the limiting cases of the present analysis.
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Hayat, T., Khan, M. & Asghar, S. On the MHD flow of fractional generalized Burgers’ fluid with modified Darcy’s law. Acta Mech Sin 23, 257–261 (2007). https://doi.org/10.1007/s10409-007-0078-1
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DOI: https://doi.org/10.1007/s10409-007-0078-1