Non-Newtonian Fluid Flow in an Incompressible Isothermal Cylindrical Pipe and Temperature-Dependent Viscosity

Boniface Inalu Obi and Frankline Chidi Eze
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Boniface Inalu Obi: Department of Mathematics, Faculty of Physical Sciences, Imo State University, Owerri, Nigeria
Frankline Chidi Eze: Department of Mathematics, Faculty of Physical Sciences, Imo State University, Owerri, Nigeria

International Journal of Research and Scientific Innovation, 2024, vol. 11, issue 10, 74-81

Abstract: This study centres on non-Newtonian fluid flow in an incompressible isothermal cylindrical pipe and temperature-dependent viscosity. The coupled nonlinear momentum and energy equations were solved using the regular perturbation technique Reynold’s model viscosity is introduced to account for the temperature-dependent viscosity, while the third grade fluid is accommodated to model the non-Newtonian fluid feature. Results show that the third grade and the magnetic field parameters have the tendency of reducing both the velocity of the fluid flow and can enhance the temperature of the cylindrical walls. The Eckert parameter is seen to increase the temperature within the constant viscosity model, but reduces the temperature at the Reynold’s model. Results further show the exponential constant parameter n for Reynold’s model viscosity reduces both the velocity and the temperature profiles. The results of other sundry parameters associated with this analysis are presented

Date: 2024
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