The theoretical study of laminar boundary layer flows of a non-Newtonian fluid past a stretching sheet in an embedded porous medium in the presence of suction/injection is of significant importance in the crystal growing, geothermal, metallurgical, polymer extrusion and several other technological processes. Casson fluid model is one such fluid model used to characterize the behaviour of non-Newtonian fluids. The present article discusses the Casson fluid flow past a permeable stretching sheet in the presence of mass transpiration. The physical problem is modelled into a system of nonlinear partial differential equations which are analytically solved by transforming them into nonlinear ordinary differential equations with constant coefficient by means of similarity transformations. The analysis reveals the effect of Casson parameter on the velocity boundary. In fact, the increasing Casson parameter results in the suppression of velocity boundary. It is found that the skin friction coefficient decreases with the decreasing values of Casson parameter. The effects of Darcy drag force and the mass transpiration are also analyzed by means of various plots.

Casson liquid flow due to porous stretching sheet with suction/injection / Nanjundaswamy, Vinay Kumar Poorigaly; Mahabaleshwar, Ulavathi Shettar; Mallikarjun, Patil; Nezhad, Mohaddeseh Mousavi; Lorenzini, Giulio. - In: DIFFUSION AND DEFECT DATA, SOLID STATE DATA. PART A, DEFECT AND DIFFUSION FORUM. - ISSN 1012-0386. - 388:(2018), pp. 420-432. [10.4028/www.scientific.net/DDF.388.420]

Casson liquid flow due to porous stretching sheet with suction/injection

Lorenzini, Giulio
2018-01-01

Abstract

The theoretical study of laminar boundary layer flows of a non-Newtonian fluid past a stretching sheet in an embedded porous medium in the presence of suction/injection is of significant importance in the crystal growing, geothermal, metallurgical, polymer extrusion and several other technological processes. Casson fluid model is one such fluid model used to characterize the behaviour of non-Newtonian fluids. The present article discusses the Casson fluid flow past a permeable stretching sheet in the presence of mass transpiration. The physical problem is modelled into a system of nonlinear partial differential equations which are analytically solved by transforming them into nonlinear ordinary differential equations with constant coefficient by means of similarity transformations. The analysis reveals the effect of Casson parameter on the velocity boundary. In fact, the increasing Casson parameter results in the suppression of velocity boundary. It is found that the skin friction coefficient decreases with the decreasing values of Casson parameter. The effects of Darcy drag force and the mass transpiration are also analyzed by means of various plots.
2018
Casson liquid flow due to porous stretching sheet with suction/injection / Nanjundaswamy, Vinay Kumar Poorigaly; Mahabaleshwar, Ulavathi Shettar; Mallikarjun, Patil; Nezhad, Mohaddeseh Mousavi; Lorenzini, Giulio. - In: DIFFUSION AND DEFECT DATA, SOLID STATE DATA. PART A, DEFECT AND DIFFUSION FORUM. - ISSN 1012-0386. - 388:(2018), pp. 420-432. [10.4028/www.scientific.net/DDF.388.420]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2857877
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