Effect of Newtonian heating on double convection flow fractional differential type fluid

Abstract

The influence of Newtonian heating (NH) is studied on heat-mass transfer problem of fractional differential type fluid. The proposed problem is modeled by using Caputo-Fabrizio fractional order derivative. A steady magnetic field of uniform strength is enforced in a perpendicular direction of flow. The set of governing equations in dimensional form accompanied by suitable initial and boundary conditions are changed into non-dimensional form by making use of some non-dimensional variables. The resulting problem is then converted into a model employing fractional differential operator by using the new Caputo-Fabrizio fractional differential operator. The analytical exact solution has been obtained by making use of Laplace transform technique. The numerical results are computed via MATHCAD software and displayed in various plots for different physical parameters and discussed.