The present study is analyzed for slippage of velocity ﬁeld and shear stress for accelerating ﬂows of magnetohydrodynamics Oldroyd-B ﬂuid in presence of porosity. The analytical solutions have been obtained by employing fractional derivative approach on the governing partial differential equations. The expressions of general solutions have been presented in terms of newly deﬁned M p q function. These solutions are veriﬁed for initial and boundary conditions. Some special cases of ﬂuid are particularized for ordinary Oldroyd-B, fractionalized and ordinary Maxwell, fractionalized and ordinary second grade and also for Newtonian ﬂuids with respect to fractional parameters α , γ , λ r, λ , β , ρ ,t, θ , µ , ν , p and Φ . The inﬂuence of rheological and fractional parameters is analyzed through graphical illustrations and depicted in with and without slippage.
Digital Object Identifier (DOI)
Ali Abro, Kashif; Hussain, Mukarrum; and Mahmood Baig, Mirza
"Slippage of Magnetohydrodynamic Fractionalized Oldroyd-B Fluid in Porous Medium,"
Progress in Fractional Differentiation & Applications: Vol. 3
, Article 7.
Available at: https://dc.naturalspublishing.com/pfda/vol3/iss1/7