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Viscoelastic fluid over a stretching sheet with electromagnetic effects and nonuniform heat source/sink. (English) Zbl 1189.76782

Summary: A magnetic hydrodynamic (MHD) of an incompressible viscoelastic fluid over a stretching sheet with electric and magnetic dissipation and nonuniform heat source/sink has been studied. The buoyant effect and the electric number \(E_{_{1}}\) couple with magnetic parameter \(M\) to represent the dominance of the electric and magnetic effects, and adding the specific item of nonuniform heat source/sink is presented in governing equations which are the main contribution of this study. The similarity transformation, the finite-difference method, Newton method, and Gauss elimination method have been used to analyze the present problem. The numerical solutions of the flow velocity distributions, temperature profiles, and the important wall unknown values of \(f''(0)\) and \(\theta'(0)\) have been carried out. The parameter \(Pr\), \(E_{_{1}}\), or \(E_{_{c}}\) can increase the heat transfer effects, but the parameter \(M\) or \(A^{^{*}}\) may decrease the heat transfer effects.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
80A20 Heat and mass transfer, heat flow (MSC2010)
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References:

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