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Computational Study of MHD Nanofluid Flow with Effects of Variable Viscosity and Non-uniform Heat Generation

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Abstract

The thermodynamic study of an unsteady two-dimensional nanofluid flow through a permeable stretched sheet is looked at. Water is used as the primary fluid, along with four different nanoparticles, including copper (Cu), titanium dioxide (TiO2), copper oxide (CuO), and aluminium oxide (Al2O3). The heat transfer phenomenon is explained by an outside source. Additionally considered are the impacts of heat generation and absorption. A similarity transformation is used to convert the considered set of mathematical equations into a system of ODEs. The BVP4C method is then mathematically applied, coupled with shooting fashion. The results are given for cases involving copper nanoparticles. The effects of various physical parameters on the profiles of the dimensionless flow field, temperature, average entropy generation function, skin friction, and the Nusselt number are examined with illustrations and thorough explanations. As exceptional circumstances of the current inquiry, there is a strong agreement between the current conclusion and the findings of the other researchers. The average entropy generation number, temperature, and velocity profiles are shown to be strongly influenced by regulating factors. The authors conclude that the average entropy production number decreased in the existence of a temperature- and space-dependent heat source/sink, but it increased with increasing the viscosity parameter.

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Data Availability

No data are associated with this manuscript, which was randomly fixed constant value for convergence.

Abbreviations

\(u,v\) :

Velocity component in x−y direction

x :

Cartesian coordinate in horizontal direction

y :

Cartesian coordinate in vertical direction

B 0 :

Uniform magnetic field coefficient

C f :

Skin friction factor

C p :

Specific heat at constant pressure

A :

Unsteadyness parameter

Nu :

Nusselt number

P :

Pressure

Po :

Porosity parameter

Pr :

Prandtl number

N1 :

Heat source factor

N2 :

Heat sink factor

T :

Fluid Temperature

\({T}_{\infty }\) :

Free stream temperature

\({T}_{w}\) :

Wall temperature

\({U}_{w}\) :

Wall velocity

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Authors and Affiliations

  1. Department of Mathematics, PVP Siddartha Institute of Technology, Kanuru, Vijayawada, 520007, India

    Vyakaranam Seethamahalakshmi

  2. Department of Mathematics, Christ (Deemed to Be) University, Yeshwanthpur, Bengaluru, India

    Babitha

  3. Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India

    T. S. Rao & G. V. R. Reddy

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  1. Vyakaranam Seethamahalakshmi
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  4. G. V. R. Reddy
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Contributions

A. Prepared the Introduction B. Mathematical formulation C. Writing code and drawing the Graphs D. Results and Discussion

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Correspondence to T. S. Rao.

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Seethamahalakshmi, V., Babitha, Rao, T.S. et al. Computational Study of MHD Nanofluid Flow with Effects of Variable Viscosity and Non-uniform Heat Generation. Int. J. Appl. Comput. Math 9, 124 (2023). https://doi.org/10.1007/s40819-023-01600-9

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