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Mathematical analysis of mass and heat transfer through arterial stenosis

Hussain Azad, Sarwar Luba, Akbar Sobia, Malik M. Y.

Journal of Power Technologies

2022

Vol. 102, nr 3

88--95

The article investigates the steady state flow of an incompressible fluid which is treated as a Williamson fluid through a stenoised region in the shape of cosine constriction. Blood is taken as a Williamson fluid. Mathematical formulation leads us to nonlinear compatibility and energy equations, which are then deciphered by the shooting technique to obtain the numerical solution. Suitable resemblance transformations are used to change partial differential equations into an embellished form of ordinary differential equations. Further, the consequences of the different parameters involved are shown by graphs and a conclusion is presented. Velocity and temperature fields are canvassed graphically for the distinct values of emerging parameters and discussed in tabular form. Skin friction and the coefficient of heat transfer are also covered in the discussion. The resulting Nusselt number curve exhibits negative deflection for variational values of λ and height of the stenosis δ.

Stagnation flow of couple stress nanofluid over an exponentially stretching sheet through a porous medium

Rehman A., Nadeem S., Malik M. Y.

Journal of Power Technologies

2013

Vol. 93, nr 2

122--132

The present investigation is carried for the problem of boundary layer stagnation point flow and heat transfer of couple stress fluid containing nanoparticles and flowing over an exponentially stretching surface in a porous medium. The governing equations of couple stress fluid model for velocity, temperature and nanoparticle profiles are given under boundary layer approach. The nonlinear partial differential equations are simplified by using similar transformations. The analytical solutions of simplified equations are found with the help of homotopy analysis method. The convergence of the HAM solutions has been discussed by plotting - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.