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Transient free convection of a second‐grade fluid flowing in a vertical cylinder
Author(s) -
Dwivedi Naveen,
Singh Arun Kumar,
Singh Ashok Kumar
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21924
Subject(s) - prandtl number , mechanics , cylinder , laplace transform , free surface , transient (computer programming) , flow (mathematics) , physics , combined forced and natural convection , fluid dynamics , bessel function , steady state (chemistry) , natural convection , mathematics , convection , classical mechanics , mathematical analysis , geometry , chemistry , computer science , operating system
Abstract The intention of the present article is to examine the transient effect on the free convection of the second‐grade fluid flowing in a vertical cylinder. We have found the analytical solution of the derived governing partial differential equations in nondimensional form corresponding to the velocity as well as the temperature fields by applying the Laplace transformation method in terms of the Bessel function of the first kind. To obtain the impacts of the appropriate parameters related to the given equations, such as the second‐grade fluid parameter and the Prandtl number, the numerical values of the velocity are discussed and displayed in graphs. Furthermore, the mass flow rate and the skin friction at the inner surface of the cylinder are given in a tabular form. The influence of the second‐grade fluid parameter is to decelerate the velocity as well as the mass flow rate and to enhance the steady‐state time.