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Joule Heating and Thermophoresis Effects on Unsteady Natural Convection Flow of Doubly Stratified Fluid in a Porous Medium with Variable Fluxes: A Darcy–Brinkman Model

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Numerical Heat Transfer and Fluid Flow

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

In the present article, the effect of Joule heating and thermophoresis on unsteady natural convection flow of electrically conducting fluid along a vertical plate is analyzed. In addition, double stratification and a Darcy–Brinkman porous medium are considered. Initially, the governing nonlinear time-dependent equations are transformed into a set of dimensionless equations by using nondimensional transformations and then solved numerically by an accurate, efficient, and unconditionally stable implicit finite difference scheme. The behavior of flow characteristics (specifically, Nusselt number, Sherwood number, and local and average skin friction) with pertinent flow parameters is discussed through graphs. The outcome of the exploration may be beneficial for applications of engineering, biotechnology, and chemical industries.

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Authors and Affiliations

  1. Department of Mathematics, NBKR IST, Vidyanagar, India

    Ch. Madhava Reddy

  2. Department of Mathematics, National Institute of Technology, Warangal, India

    Ch. RamReddy & D. Srinivasacharya

Authors
  1. Ch. Madhava Reddy
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  2. Ch. RamReddy
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  3. D. Srinivasacharya
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Correspondence to Ch. Madhava Reddy .

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Editors and Affiliations

  1. National Institute of Technology Warangal, Warangal, Telangana, India

    D. Srinivasacharya

  2. Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    K. Srinivas Reddy

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Madhava Reddy, C., RamReddy, C., Srinivasacharya, D. (2019). Joule Heating and Thermophoresis Effects on Unsteady Natural Convection Flow of Doubly Stratified Fluid in a Porous Medium with Variable Fluxes: A Darcy–Brinkman Model. In: Srinivasacharya, D., Reddy, K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-1903-7_13

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  • DOI: https://doi.org/10.1007/978-981-13-1903-7_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1902-0

  • Online ISBN: 978-981-13-1903-7

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