Abstract

theoretical steady of two-dimensional and MHD couple stress fluid flow over a linearly stretching sheet is investigated with the effects of thermal radiation, internal heat generation and homogeneous chemical reaction of first order. The governing equations of continuity, momentum, energy and diffusion for this boundary layer flow are transformed into one set of coupled non-linear ordinary differential equations using the local similarity transformation and are then solved using the fourth-order Runge-Kutta method along with the shooting technique. The effects of the couple stress parameter ( S ), Magnetic parameter ( M ) and chemical reaction parameter ( Cr ) are presented through the graphical illustrations. It has been found from the results that the temperature of the couple stress fluid is enhanced due to increases in Pr,Ec,M and Q but decreased with R and S . Increase in the couple stress parameter ( S ) enhances the flow velocity but enhance in the magnetic field ( M ) reduces the flow velocity.

Highlights

  • A COUPLE STRESS FLUID FLOWG. Nagarajua,†, Anjanna Mattab, K. Kaladharc aDepartment of Mathematics, GITAM University, Hyderabad campus, Rudraram(V), Medak dist., Telangana, India bDepartment of Mathematics, Indian Institute of Technology Hyderabad, Kandi, Telangana-502285, India cDepartment of Mathematics, National Institute of Technology Puducherry, Karaikal-609605, India

  • The study of chemical reaction and magnetic field has significant role in the areas of industrial and engineering sciences

  • The present study reports the influence of chemical reaction and various physical parameters on double diffusive convection in presence of couple stress fluid flow over a linear stretching sheet

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Summary

A COUPLE STRESS FLUID FLOW

G. Nagarajua,†, Anjanna Mattab, K. Kaladharc aDepartment of Mathematics, GITAM University, Hyderabad campus, Rudraram(V), Medak dist., Telangana, India bDepartment of Mathematics, Indian Institute of Technology Hyderabad, Kandi, Telangana-502285, India cDepartment of Mathematics, National Institute of Technology Puducherry, Karaikal-609605, India

INTRODUCTION
MATHEMATICAL ANALYSIS
RESULTS AND DISCUSSION
CONCLUSION

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