2020
DOI: 10.1177/0954408920971135
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Dual solutions of a magnetohydrodynamic stagnation point flow of a non-Newtonian fluid over a shrinking sheet and a linear temporal stability analysis

Abstract: The present study accentuates the magnetohydrodynamic and suction/injection effects on the two-dimensional stagnation point flow and heat transfer of a non-Newtonian fluid over a shrinking sheet. The set of Navier-Stokes equations are converted into a system of highly non-linear ordinary differential equations by employing suitable similarity variables. The obtained self-similar equations are then solved numerically with the aid of shooting technique. The similarity equations exhibit dual solutions over a cert… Show more

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Cited by 15 publications
(4 citation statements)
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“…Note that the stability of the steady state dual solutions is determined by the sign of the smallest eigenvalue γ 1 (see Merkin 25 and Mortuja Sarkar and Sahoo 30 for details). The above system has an unknown parameter γ , the eigenvalue.…”
Section: Stability Analysismentioning
confidence: 99%
See 2 more Smart Citations
“…Note that the stability of the steady state dual solutions is determined by the sign of the smallest eigenvalue γ 1 (see Merkin 25 and Mortuja Sarkar and Sahoo 30 for details). The above system has an unknown parameter γ , the eigenvalue.…”
Section: Stability Analysismentioning
confidence: 99%
“…In this problem, we relax F 0 ( ) 0 and determine the smallest eigenvalue γ 1 by shooting technique with an additional BC F 0 ( 0 ) = 1 (without loss of generality). The reader may follow Weidman et al 26 and Mortuja Sarkar and Sahoo 30 for further details.…”
Section: Stability Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…This transverse (vertical) magnetic field has numerous fundamental applications such as a nuclear reactor, blood flow, electrical furnace, turbo-machinery, etc. The impact of a transverse magnetic field on electrically conducting liquid over a flat surface has been studied by Rossow 26 The works of Vajravelu and Rollins, 27 Sharma et al, 28 Sarkar and Sahoo 29 gained attention among others toward the existence and feasibility of dual solutions. Since then, many researchers have started working on this model by considering nanofluids.…”
Section: Introductionmentioning
confidence: 99%