Nonlinear Mixed Convective Flow over a Moving Yawed Cylinder Driven by Buoyancy

Prabhugouda M. Patil, Hadapad F. Shankar and Mikhail A. Sheremet
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Prabhugouda M. Patil: Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad 580003, India
Hadapad F. Shankar: Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad 580003, India
Mikhail A. Sheremet: Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634045 Tomsk, Russia

Mathematics, 2021, vol. 9, issue 11, 1-17

Abstract: The fluid flow over a yawed cylinder is useful in understanding practical significance for undersea applications, for example, managing transference and/or separation of the boundary layer above submerged blocks and in suppressing recirculating bubbles. The present analysis examines nonlinear mixed convection flow past a moving yawed cylinder with diffusion of liquid hydrogen. The coupled nonlinear control relations and the border restrictions pertinent to the present flow problem are nondimensionalized by using nonsimilar reduction. Further, implicit finite difference schemes and Quasilinearization methods are employed to solve the nondimensional governing equations. Impact of several nondimensional parameters of the analysis on the dimensionless velocity, temperature and species concentration patterns and also on Nusselt number, Sherwood number and friction parameter defined at the cylinder shell is analyzed through numerical results presented in various graphs. Velocity profiles can be enhanced, and the coefficients of friction at the surface can be reduced, for increasing values of velocity ratio parameters along chordwise as well as spanwise directions. Species concentration profile is reduced, while the Sherwood number is enhanced, for growth of the Schmidt number and yaw angles. Furthermore, for an increasing value of yaw angle, skin-friction coefficient in chordwise direction diminishes in opposing buoyancy flow case, whereas the results exhibit the opposite trend in assisting buoyancy flow case. Moreover, very importantly, for increasing magnitude of nonlinear convection characteristic, the liquid velocity and surface friction enhance in spanwise direction. Further, for increasing magnitude of combined convection characteristics, velocity profiles and coefficient of friction at the surface enhance in both spanwise and chordwise directions. Moreover, we have observed that there is no deviation for zero yaw angle in Nusselt number and Sherwood number.

Keywords: mixed convection; yawed cylinder; double diffusion; nonlinear convection; quasilinearization technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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