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The non-similar solution of a viscous fluid caused by a curved stretching surface with a convective boundary condition is considered in this article. The momentum equation is modified by considering the effects of MHD and mixed convection. The energy equation is modeled as subjected to joule heating and thermal radiation effects. The independent variable "s" is present in the Eckert and Grashof numbers, which is incompatible with dimensionless parameters. In this regard, a non-similar technique is used to tackle the problem. The non-similar approach has not been tried on a curved stretching surface. Moreover, the entropy rate is discussed under these observations. The non-similarity transformation is used to convert the modeled governing equations into dimensionless PDEs. A local non-similarity method is employed for the conversion of PDE’s into ODE’s, and the numerical solution of the resulting equations is obtained  via  bvp4c. The novelty of the problem is that when the thermal radiation, Hartman number, and Brinkman number increase, the entropy generation increases. The Bejan number increases with the Hartman number and thermal radiation, while the Brinkman number shows the opposite behavior in boundary layer. The nonlinear radiation parameter increases the thermal profile while reverse tends noticed for the entropy generation and Bejan number. The behaviors of velocity and temperature profiles are discussed graphically for the different parameters. Physical quantities like heat transfer rate and drag force are presented in tabular form.

Non-similar solution of mixed convection flow of viscous fluid over curved stretching surface with viscous dissipation and entropy generation