DTM-BF TECHNIQUE FOR FLOW AND HEAT TRANSFER OF A NANOFLUID OVER A NON-LINEARLY STRETCHING/SHRINKING SHEET IN PRESENCE OF THERMAL RADIATION AND PARTIAL SLIP

  • Nasreen Bano Muslim Shaikh Dr. Babasaheb Ambedkar Technological University, Lonere
  • Brijbhan Singh, Dr. Department of Mathematics, Dr. Babasaheb Ambedkar Technological University, Lonere
  • Oluwole Makinde Faculty of Military Science, Stellenbosch University , South Africa
  • Shoeb Rashid Sayyed, Mr. Department of Mathematics, Dr. Babasaheb Ambedkar Technological University, Lonere
Keywords: Nanofluid, Heat transfer, Non-linear stretching/shrinking sheet, Velocity slip, Thermal slip, Thermal Radiation

Abstract

The present paper investigates the problem of flow and heat transfer in a two dimensional boundary layer flow of a nanofluid over a non-linear, permeable stretching/shrinking sheet by considering the effects of suction/blowing, momentum slip, thermal slips and thermal radiation. Three different types of spherical nanoparticles such as ,  and  are considered by taking water as the base fluid. With the aid of suitable similarity transformations, the governing non-linear partial differential equations are transformed to ordinary ones. A new analytical method namely DTM-BF, based on the differential transformation method (DTM) and base function (BF), has been applied to get approximate analytic solutions of these equations in an unbounded domain. Comparison of the present numerical results has been done with the corresponding results available in the literature and they have been found to be in good agreement. The effects of different physical parameters on the flow and temperature profiles have been presented graphically.

Published
2020-02-27
Section
Heat and Mass Transfer