Analysis of Marangoni boundary layer flow and heat transfer with novel constitution relationships

Based on traditional constitutive relationships of Maxwell fluid flow and Cattaneo heat transfer, a modified model unsteady Marangoni convective boundary layer transfer behavior is constructed, which introduces the distributed fractional-order derivative. The governing equations corresponding initial conditions are derived, in finite difference method with L1 scheme used to solve obtained solvability analysed. Afterwards, pair source terms added into momentum equation energy respectively facilitate obtaining exact solution, validity numerical verified by comparing solution. influences physical parameters thickness velocity temperature rheological characteristics mechanism discussed analysed detail.