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Viscoelastic dielectric liquid flow over a horizontal stretching sheet

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Abstract

Flow of viscoelastic dielectric liquid due to horizontal stretching sheet is studied. The problem is investigated with all mathematical backgrounds and is solved numerically using Runge–Kutta-based shooting strategy to illuminate the system incorporating nonlinear ordinary differential equations describing the system's equations. The impact of physical parameters Prandtl number, dielectric interaction parameter, and viscoelastic parameter on velocity and temperature is discussed and illustrated through graphs. For different values of non-dimensional parameters, local Nusselt number and skin friction are tabulated. The current findings using previously published works in a restricted number of cases are validated.

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Abbreviations

a :

Distance

c p :

Specific heat constant

\(k\) :

Thermal conductivity

\(\left(u,v\right)\) :

Velocity components

\(\left(x,y\right)\) :

Cartesian component

\(\mathrm{Pr }= \frac{\mu {c}_{\text{p}}}{k}\) :

Prandtl number

\(\lambda =\frac{c\mu }{\rho k({T}_{\text{c}}-{T}_{\text{w}})}\) :

Viscous dissipation

\(\beta =\frac{{\alpha }{\prime}\rho }{2\pi {\mu }^{2}}{\epsilon }_{0}e({T}_{\text{c}}-T)\) :

Dielectric interaction parameter

\(\mu\) :

Viscosity

\(T\) :

Fluid temperature

\(E\) :

Electric field

\(P\) :

Dielectric polarization

\({\varepsilon }_{0}\) :

Electric permiability of free space

\({T}_{\mathrm{c}}\) :

Curie temperature

\(\rho\) :

Fluid density

\(\varnothing\) :

Electric potential

\(\Psi\) :

Stream function

\({\lambda }_{1}\) :

Relaxation time

\({\gamma }_{1}\) :

Viscoelastic parameter

\(\alpha\) :

Dimensionless distance

\({g}^{*}\) :

The coefficient of thermal expansion

\(g\) :

Acceleration due to gravity

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Acknowledgements

We thank S J C Institute of Technology, Chickballapur, as well as BMSIT and M, Bengaluru, and M S Ramaiah Institute of Technology, Bengaluru, for their support and encouragement.

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Authors and Affiliations

  1. Department of Mathematics, S J C Institute of Technology, Chickballapur, 562101, India

    N. Veena

  2. Visvesvaraya Technological University, Belagavi, 590018, India

    N. Veena

  3. Department of Mathematics, M S Ramaiah Institute of Technology, Bengaluru, Karnataka, 560054, India

    P. A. Dinesh

  4. Department of Mathematics, BMS Institute of Technology and Management, Bengaluru, 560064, India

    Annamma Abraham & Jojy Joseph Idicula

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Veena, N., Dinesh, P.A., Abraham, A. et al. Viscoelastic dielectric liquid flow over a horizontal stretching sheet. J Therm Anal Calorim 148, 11893–11902 (2023). https://doi.org/10.1007/s10973-023-12480-y

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