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Soret effects on the mixed convection flow using Robin boundary conditions J. C. Umavathi, M. A. Sheremet, S. L. Patil

By: Umavathi, Jawali CContributor(s): Sheremet, Mikhail A | Patil, Sapnali LimbrajMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): смешанная конвекция | граничные условия | Рунге-Кутты метод | Соре эффектGenre/Form: статьи в журналах Online resources: Click here to access online In: Heat transfer - Asian research Vol. 49, № 1. P. 154-179Abstract: An investigation has been undertaken as Soret and Schmidt outcomes on the mixed convection flow using Robin boundary conditions. The results use a vertical channel being kept at constant cold temperature and concentration at the left wall and hot temperature and concentration at the right wall. The exchange of heat is done by help of plates with a fluid. We consider the external fluid with equal and different temperatures. This physical problem is solved by using nondimensional parameters with the corresponding boundary conditions. To find analytical solution, the regular perturbation series method is used, and for finding the numerical solution, the well‐known Runge–Kutta method with shooting technique is employed. Comparison of the current study is favorable with the previous published results. The obtained results depend on the governing parameters such as thermal Grashof number, solutal Grashof number, Biot numbers, symmetric and asymmetric wall temperatures, Schmidt number, Soret number, and Brinkman number. An influence of these parameters on the fields of velocity, temperature, and concentration is reported. Further, the numerical results for the Nusselt number, mean value of the velocity, dimensionless bulk temperature, skin friction, and molecular diffusion coefficient are tabulated for different parametric conditions and explained. For small value of Brinkman number, the obtained values agree with other published results for all considered cases.
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An investigation has been undertaken as Soret and
Schmidt outcomes on the mixed convection flow using
Robin boundary conditions. The results use a vertical
channel being kept at constant cold temperature and
concentration at the left wall and hot temperature and
concentration at the right wall. The exchange of heat is
done by help of plates with a fluid. We consider the
external fluid with equal and different temperatures.
This physical problem is solved by using nondimensional
parameters with the corresponding boundary
conditions. To find analytical solution, the regular
perturbation series method is used, and for finding the
numerical solution, the well‐known Runge–Kutta method
with shooting technique is employed. Comparison of
the current study is favorable with the previous
published results. The obtained results depend on the
governing parameters such as thermal Grashof number,
solutal Grashof number, Biot numbers, symmetric and
asymmetric wall temperatures, Schmidt number, Soret
number, and Brinkman number. An influence of these
parameters on the fields of velocity, temperature, and
concentration is reported. Further, the numerical results
for the Nusselt number, mean value of the velocity,
dimensionless bulk temperature, skin friction, and
molecular diffusion coefficient are tabulated for different
parametric conditions and explained. For small value of Brinkman number, the obtained values agree
with other published results for all considered cases.

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