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MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Rauf A., Shehzad S. A., Hayat T., Meraj M. A., Alsaedi A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2017

Vol. 65, nr 2

155--162

In this article the stagnation point flow of electrically conducting micro nanofluid towards a shrinking sheet, considering a chemical reaction of first order is investigated. Involvement of magnetic field occurs in the momentum equation, whereas the energy and concentrations equations incorporated the influence of thermophoresis and Brownian motion. Convective boundary condition on temperature and zero mass flux condition on concentration are implemented. Partial differential equations are converted into the ordinary ones using suitable variables. The numerical technique is utilized to discuss the results for velocity, microrotation, temperature, and concentration fields.

Flow analysis of viscoelastic fluid due to a shrinking sheet

Nandeppanavar M. M., Siddalingappa M. N., Kemparaju M. C.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 1

249-257

This work is concerned with the analysis of a two dimensional flow of a viscoelastic fluid (Walters' liquid B) induced by a shrinking sheet. The governing partial differential equations are first reduced to ordinary nonlinear differential equations by using the appropriate similarity transformation. An exponential solution is assumed to solve the considered boundary value problem. The effects of governing pertinent physical parameters on the flow characteristics are presented graphically and discussed.