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A comparative study of heat transfer analysis on ethylene glycol or engine oil as base fluid with gold nanoparticle in presence of thermal radiation

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Abstract

The present work addresses to analyse the heat transfer enhancement of unsteady laminar incompressible MHD flow of couple stress nanofluid through a rectangular squeezing channel with thermal radiation. The governing transport equations are reduced into an ordinary differential equation using relevant similar transformations and then solved numerically with the shooting method Runge–Kutta fourth-order scheme. The results are sketched as two-dimensional graphs and explained in detail for flow and heat transfer with non-dimensional physical parameters. Further calculated the skin friction and heat transfer rates at the upper plate. The axial velocity of engine oil/ethylene glycol has been increased by β and Da−1 towards the centre of the channel decreased for squeezing, and it is opposite for the separation case. The numerical results have good agreement with published work for temperature profile.

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Abbreviations

h :

Origin-to-wall distance \(\left( {\text{m}} \right),\;H\sqrt {\left( {1 - \alpha t} \right)}\)

α :

Wall motion parameter (s−1)

\(v_{\text{w}}\) :

Velocity of the wall (m s−1)

T r :

Reference temperature at the wall (℃)

T 0 :

Temparature (℃) at y = 0

ρ :

Density of the fluid (Kg m−3)

p :

Pressure (Kg m s−2)

μ :

Viscosity of the parameter (Kg m−1 s−1)

υ :

Kinematic viscosity (m s−1)

σ :

Electrical conductivity of the fluid (S m−1)

B 0 :

Magnetic field strength (Wb m−2)

c :

Specific heat constant (J Kg−1 K−1)

k 1 :

Thermal conductivity (W m−1 K−1)

\(\bar{J}\) :

Current density (A m−2),

\(\bar{B}\) :

Magnetic field vector (T)

\(\bar{E}\) :

Electric field (V m−1)

\(\mu_{e}\) :

Magnetic permeability (NA−2)

\(\rho_{\text{f}}\) :

Density of the base fluid

\(\rho_{\text{p}}\) :

Density of the nanoparticle

\(\rho_{\text{nf}}\) :

Density of the nanofluid

\(\upsilon\) :

Kinematic viscosity

\(\mu_{\text{f}}\) :

Dynamic viscosity of the nanofluid

f:

Fluid

p:

Solid

nf:

Nanofluid

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Acknowledgements

One of the authors (A.R) is grateful to the Defence Research and Development Organization (DRDO), Government of India for providing financial assistance in the form of Junior Research Fellowship (DIAT/F/Acad (PhD)/1613/15-52-09).

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Authors and Affiliations

  1. Department of Mathematics, Sumathi Reddy Institute of Technology for Women, Warangal, 506371, India

    Adigoppula Raju

  2. Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Pune, 411025, India

    Odelu Ojjela

  3. Department of Mathematics, National Institute of Technology Calicut, Calicut, 673601, India

    Pravin Kashyap Kambhatla

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  1. Adigoppula Raju
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  3. Pravin Kashyap Kambhatla
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Correspondence to Odelu Ojjela.

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Appendix

Appendix

See (Fig. 8).

Fig. 8
figure 8

Flowchart of RK-4 method resolving system \(\left( {{\text{i}}.{\text{e}}\,X\left( {x_{1} ,x_{2} ,x_{3} ,x_{4} ,x_{5} ,x_{6} ,x_{7} ,x_{8} } \right)} \right)\) of equations

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Raju, A., Ojjela, O. & Kambhatla, P.K. A comparative study of heat transfer analysis on ethylene glycol or engine oil as base fluid with gold nanoparticle in presence of thermal radiation. J Therm Anal Calorim 145, 2647–2660 (2021). https://doi.org/10.1007/s10973-020-09757-x

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  • DOI: https://doi.org/10.1007/s10973-020-09757-x

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