Significance of Joule heating and viscous heating on heat transport of MoS2–Ag hybrid nanofluid past an isothermal wedge


The problem of flow and heat transport of magneto-composite nanofluid over an isothermal wedge has not been addressed in the literature up to yet. Thus, this article features the laminar transport of Newtonian composite nanomaterial (C2H6O2–H2O hybrid base liquid + MoS2–Ag hybrid nanoparticles) in the presence of exponential space- and temperature-dependent heat source past an isothermal wedge. An incompressible and electrically conducting fluid is assumed. The effects of Joule heating and viscous heating are also accounted. Single-phase nanofluid model and boundary layer approximation are utilized to govern the equations of flow and heat transport phenomena. The solution of the simplified coupled system of dimensionless constraints is obtained by using the Runge–Kutta–Fehlberg method based on the shooting technique. Detailed analysis of active quantities of interest has been presented and discussed. The interesting physical quantities (friction factors and Nusselt number) are estimated. Also, the slope of the data point is calculated in order to estimate the amount of decrease/increase in physical quantities.

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\( (u, v) \) :

Velocity components in \( x \) and \( y \) directions (m s−1)

\( T \) :

Temperature of the fluid (K)

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

Wall temperature (K)

\( T_{\infty } \) :

Ambient temperature (K)

\( B \) :

Variable magnetic field (T)

\( K \) :

Variable porosity

\( q_{\text{T}} \) :

Temperature-dependent heat sink/source

\( q_{\text{E}} \) :

Exponential space-based heat source

\( n \) :

Dimensionless exponential index (positive)

\( {\text{Ec}} \) :

Eckert number

\( Q_{\text{T}} \) :

Temperature-based heat source parameter

\( Q_{\text{E}} \) :

Exponential space-based heat source parameter

\( { \Pr } \) :

Prandtl number

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

Specific heat \( \left( {{\text{J}}\,{\text{kg}}^{ - 1} \,{\text{K}}^{ - 1} } \right) \)

\( k \) :

Thermal conductivity \( \left( {{\text{W}}\,{\text{m}}^{ - 1} \,{\text{K}}^{ - 1} } \right) \)

\( M \) :

Magnetic parameter

\( {\text{Nu}}_{\text{x}} \) :

Nusselt number

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

Skin friction coefficient

\( \text{Re}_{\text{x}} \) :

Reynolds number

\( P \) :

Porosity parameter

\( \theta \) :

Dimensionless temperature

\( \mu \) :

Dynamic viscosity \( \left( {{\text{kg}}\,{\text{m}}\,{\text{s}}^{ - 1} } \right) \)

\( \rho \) :

Density \( \left( {{\text{kg}}\,{\text{m}}^{ - 3} } \right) \)

\( \nu \) :

Kinematic viscosity \( \left( {{\text{m}}^{2} \,{\text{s}}^{ - 1} } \right) \)

\( \sigma \) :

Electrical conductivity \( \left( {{\text{m}}^{ - 1} \,\varOmega^{ - 1} } \right) \)

\( \phi \) :

The total volume concentration of \( {\text{MoS}}_{ 2} \) and \( {\text{Ag}} \)

\( \sigma \) :

Electrical conductivity \( \left( {{\text{m}}^{ - 1} \,\varOmega^{ - 1} } \right) \)

\( l \) :

Base fluid

\( hnl \) :

Hybrid nanofluid

\( {\text{MoS}}_{2} ,\,{\text{Ag}} \) :



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The first author (B. Mahanthesh) gratefully acknowledges the support of the Management of CHRIST (Deemed to be University), Bangalore, India, for pursuing this work. Also, we are very grateful for the editor and reviewers for their constructive suggestions.


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Correspondence to S. A. Shehzad.

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Mahanthesh, B., Shehzad, S.A., Ambreen, T. et al. Significance of Joule heating and viscous heating on heat transport of MoS2–Ag hybrid nanofluid past an isothermal wedge. J Therm Anal Calorim 143, 1221–1229 (2021).

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  • Hybrid nanofluid
  • Nanoparticles
  • Exponential space-based heat source
  • Magnetohydrodynamics
  • Wedge flow