MHD Carreau nanofluid with Arrhenius activation energy in a porous medium

Document Type : Article


Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan


In this investigation, the combined effects of magnetohydrodynamic and Arrhenius activation energy on Carreau nanofluid past a nonlinear stretching sheet have been examined. Buongiorno nanofluid model is considered to study the impact of nanoparticles with porous medium. For the analysis of the modelled problem convective heating mode and heat source/sink has also been incorporated. With the help of appropriate similarity transformations, formulated PDEs are transmuted into nonlinear ODEs. The solution of the resulting ODEs is achieved via shooting technique. For the limiting case, the results are numerically computed and compared with the already reported results for the validity of the MATLAB code and found splendid agreement. The variations in fluid motion, the temperature and concentration due to changes in different parameters are analyzed graphically and discussed in detail. Our simulations show that temperature profile is hiked as each of the Biot number, Arrhenius energy parameter and magnetic number are increased. It is also observed that the skin friction coefficient is enhanced for the increasing values of stretching parameter. Moreover, the enhancement in the skin friction is more fluid is shear thickening behaviour.


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