Thermal analysis of bioconvective flow of Williamson nanofluid with Stefan blowing and multiple slip boundary conditions on a porous stretching surface

The main aim of this research is to explore the Darcy–Forchheimer flow of Williamson nanofluid over a porous curved stretching surface. The significant role of magnetic field, exponential heat generation, activation energy, and nonuniform heat source/sink on thermal flow analysis is considered in this model. Moreover, the Stefan blowing effect and slip boundary conditions with gyrotactic microorganisms are taken into flow analysis. The flow model is converted into a nonlinear system of ordinary differential equations using appropriate conversion similarity variables. The Bvp4c technique is established to find the numerical solutions of the nonlinear system of equations. The characteristics of various parameters on the velocity, temperature, concentration, and microorganism distribution are presented graphically. Here, it becomes evident that as the curvature parameter rises the fluid velocity and nanoparticles concentration exhibit a rising trend, while the fluid temperature demonstrates opposite behavior. Further, an increment in the Williamson parameter leads to a reduction in the fluid velocity.