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Thermodynamic Analysis of MHD Heat and Mass Transfer of Nanofluids Past a Static Wedge with Navier Slip and Convective Boundary Conditions

  • Research Article - Mechanical Engineering
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Abstract

Due to its industrial applications in last 2 decades, in this study, the second law of thermodynamics is applied to MHD flow of water-based nanofluids past a static wedge. The Buongiorno model with Navier slip and convective boundary conditions is employed; in addition, the effects of Brownian motion and thermophoresis have been included. An attempt has been made to focus on the effects of magnetic field, Navier slip and convective heat of nanofluid flow over a wedge. Using similarity transformations, the governing partial differential equations are reduced to ordinary differential equations which are solved by using the spectral quasi-linearization method. The numerical solution for the dimensionless temperature, velocity and concentration gradients is performed to investigate the variation of dimensionless entropy generation due to fluid flow, thermal gradient, mass and combined impact of heat and mass transfer past a static wedge. The effects of magnetic field, Navier slip, convective heat and mass boundary conditions on the forced convection of nanofluid over a wedge are investigated. Original results observed show that the total dimensionless entropy generation rate increases significantly with local Reynolds number, Prandtl number and thermophoresis parameters.

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Abbreviations

Be :

Bejan number

C :

Concentration (mol \(\hbox {m}^{-3}\))

\(C_\infty \) :

Ambient concentration (mol \(\hbox {m}^{-3}\))

\(c_\mathrm{p}\) :

Constant pressure specific heat (J \(\hbox {kg}^{-1}\)\(\hbox {K}^{-1}\))

\(D_\mathrm{B}\) :

Brownian diffusion coefficient (\(\hbox {m}^{2}\)\(\hbox {s}^{-1}\))

\(D_\mathrm{T}\) :

Thermophoretic diffusion coefficient

k :

Thermal conductivity (W \(\hbox {m}^{-1}\)\(\hbox {K}^{-1}\))

\(M_1 \) :

Dimensionless mass transfer parameter

\(M_2 \) :

Dimensionless combined heat and mass transfer parameter

\(N_{\mathrm{b}}\) :

Brownian motion parameter

\(N_{\mathrm{t}}\) :

Thermophoresis parameter

\(Ns_\mathrm{c} \) :

Local dimensionless entropy generation due to heat transfer in axial direction

\(Ns_{f}\) :

Local dimensionless entropy generation due to fluid friction

\(Ns_\mathrm{h}\) :

Local dimensionless entropy generation due to heat transfer

\(Ns_\mathrm{M}\) :

Local dimensionless entropy generation due to magnetic field

\(Ns_{\mathrm{hm}}\) :

Local dimensionless entropy generation due to combined heat and mass transfer

\(Ns_\mathrm{m}\) :

Local dimensionless entropy generation due to mass transfer

\(Ns_x \) :

Local dimensionless total entropy generation rate

Pr :

Prandtl number

R :

Gas constant (J \(\hbox {mol}^{-1}\)\(\hbox {K}^{-1}\))

Re \(_{x}\) :

Local Reynolds number based on free stream velocity

\({{\dot{S}}}'''_{\mathrm{gen}} \) :

Entropy generation rate per unit volume (\(\hbox {W m}^{-3} \hbox {K}^{-1}\))

Sc :

Schmidt number

\(T_\infty \) :

Ambient temperature (K)

\(U_{\infty }\) :

free stream velocity (m \(\hbox {s}^{-1}\))

u, v :

Velocity components along x- and y-directions

x :

Distance along the wedge (m)

\(\mu \) :

Absolute viscosity (N s \(\hbox {m}^{-2}\))

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Author information

Authors and Affiliations

  1. Energy and Thermal Systems Laboratory, National Engineering School of Monastir, Street Ibn El Jazzar, 5019, Monastir, Tunisia

    Iskander Tlili

  2. Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, 11673, Kingdom of Saudi Arabia

    Nawaf N. Hamadneh

  3. Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar, 31952, Kingdom of Saudi Arabia

    Waqar A. Khan

Authors
  1. Iskander Tlili
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  2. Nawaf N. Hamadneh
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  3. Waqar A. Khan
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Correspondence to Nawaf N. Hamadneh.

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Tlili, I., Hamadneh, N.N. & Khan, W.A. Thermodynamic Analysis of MHD Heat and Mass Transfer of Nanofluids Past a Static Wedge with Navier Slip and Convective Boundary Conditions. Arab J Sci Eng 44, 1255–1267 (2019). https://doi.org/10.1007/s13369-018-3471-0

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