Flow of nanofluid past a Riga plate

• Mixed convection flow of a nanofluid past a vertical Riga plate.
• The Brownian motion and thermophoresis effects due to nanofluid are incorporated.
• Grinberg-term represents the wall parallel Lorentz force due to Riga plate.
• The correlation expressions for skin friction, Nusselt and Sherwood numbers are developed.
• The effects of nanofluid and the Lorentz force on the skin friction are discussed.

This paper studies the mixed convection boundary layer flow of a nanofluid past a vertical Riga plate in the presence of strong suction. The mathematical model incorporates the Brownian motion and thermophoresis effects due to nanofluid and the Grinberg-term for the wall parallel Lorentz force due to Riga plate. The analytical solution of the problem is presented using the perturbation method for small Brownian and thermophoresis diffusion parameters. The numerical solution is also presented to ensure the reliability of the asymptotic method. The comparison of the two solutions shows an excellent agreement. The correlation expressions for skin friction, Nusselt number and Sherwood number are developed by performing linear regression on the obtained numerical data. The effects of nanofluid and the Lorentz force due to Riga plate, on the skin friction are discussed.