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Triple solutions of micropolar nanofluid in the presence of radiation over an exponentially preamble shrinking surface: Convective boundary condition
Author(s) -
Lund Liaquat Ali,
Omar Zurni,
Raza Jawad,
Khan Ilyas
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21763
Subject(s) - sherwood number , nanofluid , nusselt number , mechanics , ordinary differential equation , magnetohydrodynamic drive , mathematics , similarity solution , nonlinear system , magnetohydrodynamics , partial differential equation , suction , boundary layer , mathematical analysis , physics , reynolds number , differential equation , heat transfer , thermodynamics , magnetic field , turbulence , quantum mechanics
In this study, we attempt to obtain all probable multiple solutions of the magnetohydrodynamic (MHD) steady flow of micropolar nanofluid on an exponentially shrinking surface by the consideration of concentration slip, thermal radiation, and convective boundary condition with help of the revised model of Buongiorno. The significance of the mass suction on the existence of multiple solutions is integrated. The suitable pseudo‐exponential similarity variables have been adopted to transfer the system of nonlinear partial differential equations into a system of nonlinear quasi‐ordinary ordinary differential equations. The resultant system has been solved by employing the Runge–Kutta fourth‐order method along with the shooting method. Three different ranges of solutions are noticed, namely triple solutions and single solution. When ranges of the suction parameter are S ≥ S c 1and S ≥ S c 2 , then there exist triple solutions otherwise there exists only single solution. The effect of the numerous emerging parameters on the velocity profile, angular velocity profile, temperature profile, concentration profile, coefficient of skin friction, and local Nusselt and Sherwood numbers are demonstrated graphically. Results reveal that the velocity of the rotating fluid particles near the rigid surface declines regularly by the rise of the micropolar parameter K in the second and first solutions.