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Thermal radiation and Hall effects in mixed convective peristaltic transport of nanofluid with entropy generation

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Abstract

The enhancement of energy by introducing nanoparticles is a hot topic in the present century, due to industrial and technological applications. Therefore, current article investigates the peristaltic flow of \(\mathrm{Ag}{-}\mathrm{H}_2\mathrm{O}\) nanofluid with entropy generation through a uniform channel. Hall and Radiation effects are incorporated. Two-phase formulation for nanofluid is employed. Long-wavelength approximation is used in the mathematical modelling. Built-in numerical solver NDSolve is utilized. Numerical results of the coupled equations are sketched for several quantities of interest. Outcomes of the study reveals that entropy significantly reduces for large values of Hall parameter, whereas opposite behaviour is noted for velocity. Increase in the values of radiation parameter reduces the velocity, temperature, and entropy generation. Increase in Bejan number is observed for enhancement in Brinkman number. Rate of heat transfer at walls increases when heat source parameter is increased. Additionally, comparison of different nanoparticles is also furnished through tables.

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Abbreviations

d :

 Half-width of the channel

h :

 Non-dimensional wall in wave frame

\(a_{1}\) :

 Amplitude of the wave

c :

 Wave velocity

\(\lambda\) :

 Wavelength

\(\delta\) :

 Wave number

\(\overline{t}\) :

 Dimensional time parameter

g :

 Acceleration due to gravity

\(\varepsilon\) :

 Dimensional heat generation/absorption parameter

\(\overline{Q}\) :

 Dimensional flow rate in laboratory frame

\(\overline{q}\) :

 Dimensional flow rate in wave frame

F :

 Dimensionless flow rate in wave frame

\(\eta\) :

 Dimensionless flow rate in laboratory frame

K :

 Thermal conductivity

\(B_0\) :

 Applied magnetic field

Pr :

 Prandtl number

Br :

 Brinkman number

Ec :

 Eckert number

M :

 Hartmann number

Nr :

 Radiation number

Gr :

 Grashoff number

Re :

 Reynolds number

\(\alpha\) :

 Inclination angle

\(\rho\) :

 Density

\(\sigma\) :

 Electric conductivity

\(\sigma ^*\) :

 Stefan–Boltzmann constant

\(k^*\) :

 Mean absorption coefficient

\(\psi\) :

 Stream function

\(\phi\) :

 Nanoparticles volume fraction

\(\theta\) :

 Dimensionless temperature

f :

for fluid phase

p :

 For particle phase

\(\sigma _{\mathrm{eff}}\) :

 For effective electric conductivity

\(K_{\mathrm{eff}}\) :

 For effective thermal conductivity

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Acknowledgements

Mr. Yasir Akbar gratefully acknowledges the financial support provided by Higher Education Commission (HEC) of Pakistan through Ph.D. indigenous scheme.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

    Y. Akbar & F. M. Abbasi

  2. Department of Mathematics, COMSATS University Islamabad, Sahiwal, Pakistan

    S. A. Shehzad

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  1. Y. Akbar
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  2. F. M. Abbasi
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  3. S. A. Shehzad
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Correspondence to S. A. Shehzad.

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Akbar, Y., Abbasi, F.M. & Shehzad, S.A. Thermal radiation and Hall effects in mixed convective peristaltic transport of nanofluid with entropy generation. Appl Nanosci 10, 5421–5433 (2020). https://doi.org/10.1007/s13204-020-01446-3

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