Swirling flow of couple stress fluid due to a rotating disk

What is it about?

The main objective of the present investigation is to examine the couple stress fluid ow occurring as a result of rotation of a disk. On implementing a suitable transformation, the governing system of partial differential equations (PDEs) is converted into nonlinear differential equations of a single independent variable. These equations are solved analytically by virtue of the Homotopy Analysis Method (HAM) which gives solutions in the form of a series. The solution of most of the governing problems is determined in terms of the absolute exponential and decaying functions by means of this powerful technique. To support analytic results, some graphs are plotted for determining the convergence of the solution. Also the graphical interpretation of velocity proles corresponding to the effects of pertinent parameters are shown and discussed in detail. The numerical results are calculated for evaluation of the influence of fluid parameter. It can also be anticipated that the radial and axial velocity components show decreasing behavior due to rise in the values of couple stress parameter which conflict the behavior of the tangential component of velocity.

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Why is it important?

The present work focuses on the flow of couple stress fluid occurring due to the rotation of a disk and obtains the analytical solution of the problem under consideration. Our concern in the present paper is to find a highly accurate analytic solution of the considered problem followed by the implementation of HAM. Here, by utilizing HAM, the solution in the form of a series is first calculated and then the convergence region of the solution is observed. The graphical and tabular forms for the numerical results have been presented and discussed.

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