Comprehensive analysis of thermal radiation and viscous dissipation impacts on fluid-particle suspension of Rabinowitsch fluid through a uniform horizontal tube

The heat transport analysis in the two-phase flow of non-Newtonian fluid through the uniform tube in the existence of thermal radiation is analyzed here. The analytical solution of multiphase flow of non-Newtonian fluid through the vertical tube is offered. The fluid and particle phase models are used to develop the mathematical model in the form of partial differential equations which are solved and offer the exact solution of temperature distribution, velocities of fluid and particle phases, wall shear stress, pressure gradient, stream function and heat transfer rate for Newtonian, Dilatant and pseudoplastic fluids. The pressure rise is obtained through numerical integration. The volume fraction density of the particles slows down the motion of the fluid particles. The velocity, temperature, wall shear stress, and heat transfer analysis of Newtonian fluid are greater than pseudo-plastic and Dilatant fluids. The concept of viscous dissipation and thermal radiation impacts on fluid-particle suspension of Rabinowitsch fluid through a uniform horizontal tube makes it novel and different from existing knowledge. The current analysis can be useful in biomedical engineering to observe variation in the temperature of the body which is helpful as a thermal therapy in the treatment of the tumor glands, to destroy the dead cells in the treatment of cancer. It can also be useful in endoscopy to diagnose the defects in internal organs of the human body.