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Significance of nonlinear thermal radiation in 3D Eyring–Powell nanofluid flow with Arrhenius activation energy

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Abstract

In this paper, a mathematical analysis for three-dimensional Eyring–Powell nanofluid nonlinear thermal radiation with modified heat plus mass fluxes is investigated. To enhance the dynamical and physical study of structure, the slip condition is introduced. A Riga plate is employed for avoiding boundary-layer separation to diminish the friction and pressure drag of submarines. To evaluate the heat transfer, the Cattaneo–Christov heat flux model is implemented via appropriate transformation. A comparison between bvp4c results and shooting technique is made. Graphical and numerical illustrations are presented for prominent parameters.

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Abbreviations

u, v, w :

Velocity components

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

Local Reynolds number

Q :

Modified Hartmann number

Sc:

Schmidt number

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

Local Nusselt number

K 1 :

Porosity parameter

\({\text{Nr}}\) :

Radiation parameter

\(\tilde{T}_{\infty }\) :

Ambient temperature

E 1 :

Activation energy

\(f^{\prime } ,g^{\prime }\) :

Velocities

\(\tilde{C}_{\text{f}}\) :

Skin friction coefficient

J 0 :

Current density

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

Wall heat flux

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

Thermophoretic diffusion coefficient

x, y, z :

Coordinate axes

\(\Pr\) :

Prandtl number

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

Thermophoresis number

\({\text{Le}}\) :

Lewis number

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

Local Sherwood number

B :

Dimensionless parameter

M :

Magnetic parameter

\(\tilde{T}_{\text{f}}\) :

Convective surface temperature

\(N_{\text{B}}\) :

Brownian motion

\(\tilde{C}_{\infty }\) :

Ambient concentration

\(\delta_{\text{c}}\) :

Time relaxation

\(h_{\text{m}}\) :

Wall mass flux

M 0 :

Magnetization magnets

\(D_{\text{B}}\) :

Brownian diffusion coefficient

β :

Stretching parameter

δ :

Heat basis parameter

σ :

Chemical reaction parameter

γ :

Biot number

λ :

Stretching parameter

α 1 :

Width for magnets and electrodes

δ * :

Electric conductivity

Γ :

Material parameter

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

Thermal relaxation time

\(\rho\) :

Density

α :

Velocity slip parameter

ω :

Non-dimensional fluid parameter

β 0 :

Magnetic field strength

ϕ :

Concentration distribution

θ :

Temperature distribution

\(\delta_{\text{t}}\) :

Temperature diffusion

\(\varOmega_{\text{C}}\) :

Concentration relaxation time

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

Wall shear stress

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Authors and Affiliations

  1. Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia

    Taseer Muhammad

  2. Department of Mathematics, Government College University Faisalabad, Layyah Campus, Faisalabad, Pakistan

    Hassan Waqas & Shan Ali Khan

  3. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

    R. Ellahi

  4. Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    R. Ellahi

  5. Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Sadiq M. Sait

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  1. Taseer Muhammad
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Muhammad, T., Waqas, H., Khan, S.A. et al. Significance of nonlinear thermal radiation in 3D Eyring–Powell nanofluid flow with Arrhenius activation energy. J Therm Anal Calorim 143, 929–944 (2021). https://doi.org/10.1007/s10973-020-09459-4

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