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Investigating the effect of an inclined magnetic field on heat and mass transmission in turbulent squeeze flow of UCM fluid between parallel plates

Reddy Sreenivasa Somireddy, Govardhan Kamatam, Narender Ganji, Misra Santoshi

Archives of Thermodynamics

2024

Vol. 45, no. 4

169--178

This paper investigates the effects of an inclined magnetic field on heat and mass transfer in turbulent squeeze flow of a visco-elastic fluid with an upper-convected Maxwell model. Squeezing flow is an important phenomenon in various industrial and mechanical processes related to flows between parallel surfaces. Mathematical modelling for the law of conservation of mass, momentum, heat and concentration of nanoparticles is executed. The study employs a system of partial differential equations to describe the flow issue. Governing nonlinear partial equations are reduced into nonlinear ordinary differential equations. The modelled equations are then solved numerically by utilizing the efficient Adams-Moulton method of the fourth order based on the shooting technique using the Fortran programming language. Numerical results are compared with another numerical approach and an excellent agreement is observed. The effects of various factors on the non-dimensional velocity, temperature, and concentration patterns are presented using graphs, while tables are used to assess the numerical values of the skin friction, Nusselt and Sherwood numbers. It is found that the temperature profile decreases as the compression parameter increases but increases with an increase in the Eckert number. The results of this study could be useful in designing heat and mass transfer equipment for applications in viscoelastic fluid flows under an inclined magnetic field.