Unsteady Prandtl nanofluidic flow through stretching sheet due to mixed convection, first-order slip, and chemical reaction

V. Ramanjini; G. Gopi Krishna; Mani Ramanuja; Hari Kamala Sree; S. R. Mishra

doi:10.46481/jnsps.2023.1140

Authors

V. Ramanjini
Department of Mathematics, Government First Grade College Manvi, Raichur –584123, Karnataka, India
G. Gopi Krishna
[email protected]

Department of Mathematics, Marri Laxman Reddy Institute of Technology and Management, Dundigal, Hyderabad – 500 043, India
Mani Ramanuja
Department of Mathematics, Marri Laxman Reddy Institute of Technology and Management, Dundigal, Hyderabad – 500 043, India
Hari Kamala Sree
Department of H & S, Malla Reddy College of Engineering & Technology - 500100, India
S. R. Mishra
Department of Mathematics, Siksha ‘O’ AnusandhanDeeed to be University, Bhubaneswar - 751030, Odisha, India

Keywords:

Unsteady flow, Prandtlnanofluid, Thermal and solutal Buoyancy conditions, OHAM

Abstract

This article explores the unsteady flow, heat, and mass transport of a Prandtl nanofluid flow over a stretching sheet due to the existence of mixed convection, first-order slip, and chemical reaction. The flow characteristics are analysed for the interaction of thermal and solutal Biot numbers. The system of coupled non-linear leading partial differential equations (PDEs) is converted into non-linear ordinary differential equations (ODEs) with the facilitation of given similarity transformations. Furthermore, these equations are solved by applying a semi-analytical method termed the “Optimal Homotopy Analysis Method” (OHAM) using the computational software MATHEMATICA. The tables and Figures present the numerical computations of the pertinent parameters of the flow problems. The essential findings of this study are for the growing values of the Prandtl parameter, the velocity profile is enhanced, and the temperature profiles show the opposite behaviour. Unsteady parameters reduced the thickness of the heat and moving boundary layers. The temperature profiles are enhanced as the thermal Biot number grows, and similar characteristics can be observed in the solutal Biot number on concentration profiles.

Dimensions

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