Hydromagnetic Blasius-Sakiadis flows with variable features and nonlinear chemical reaction

Document Type : Research Note

Authors

1 Department of Mathematics, Sri Venkateswara University, Tirupati-517502, India

2 Department of Mathematics, Abu Dhabi Polytechnic, Abu Dhabi, United Arab Emirates

3 Department of Mathematics, GITAM School of Science, Bangalore-561203, Karnataka, India

4 Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan

5 Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan

Abstract

Time-dependent, two-dimensional Sakiadis flow of quiescent fluid is considered. The flow is induced by stationary flat plate via uniform free-stream (Blasius flow). The variable conductivity and viscosity ratio parameters and non-linear chemical reaction are employed in the mathematical equations. Similarity variables are employed in the governing transport expressions to convert into the ordinary differential system. The transformed system is computed numerically by employing Runge-Kutta scheme via shooting criteria. Results of concentration, velocity and temperature distributions are studied through plots. Moreover, mass and heat transfer rates and friction factor have been discussed in detail. The constraint of chemical reaction slow down the friction-factors and heat transportation rates for the Sakiadis-Blasius flow situations and enhances the mass transportation rate in both cases. Rate of mass transportation is smaller in Sakiadis flow as comparative to Blasius flow. The present results of the heat transfer rate are matched with the literature and excellent agreement is noticed.

Keywords


References
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