Heat transfer and flow analysis of nanofluid flow between parallel plates in presence of variable magnetic field using HPM

• Heat and mass transfer of nanofluids between parallel plates investigated.
• A variable magnetic field is applied on the plates.
• Governing equations are solved analytically.
• Effects of physical parameters are discussed on the Nusselt number.

In this study, effect of variable magnetic field on nanofluid flow and heat transfer analysis between two parallel disks is investigated. By using the appropriate transformation for the velocity, temperature and concentration, the basic equations governing the flow, heat and mass transfer were reduced to a set of ordinary differential equations. These equations subjected to the associated boundary conditions were solved analytically using Homotopy perturbation method. The analytical investigation is carried out for different governing parameters namely: squeeze number, suction parameter, Hartmann number, Brownian motion parameter, thermophrotic parameter and Lewis number. Results show that Nusselt number has direct relationship with Brownian motion parameter and thermophrotic parameter but it is a decreasing function of squeeze number, suction parameter, Hartmann number and Lewis number.