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Convective Flow of Second Grade Fluid Over a Curved Stretching Sheet with Dufour and Soret Effects

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Abstract

The present study investigates the flow of a second-grade liquid over a curved stretching sheet with the Soret, magnetic and Dufour effects. In addition, the Newtonian heating effect is taken into account in this simulation. The framed equations are transformed to a set of nonlinear ordinary differential equations using suitable similarity variables, and then numerically solved using Runge–Kutta–Fehlberg's fourth fifth order approach and the shooting technique. The impact of dimensionless factors on the flow, thermal, and concentration fields are interpreted and explained in detail by using suitable graphs. The increase in the Newtonian heating parameter increases the heat transfer coefficient which increases the heat transfer of both second grade and Newtonian fluids. Furthermore, Newtonian liquid is significantly influenced by Newtonian heating parameter and exhibits enhanced heat transfer. The concentration profile of Newtonian fluid is significantly influenced by Soret and Dufour numbers and rises quicker than the non-Newtonian fluid.

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Abbreviations

\(\Pr\) :

Prandtl number

\(D_{m}\) :

Mass diffusivity

\(C_{p}\) :

Specific heat

\(Nu\) :

Nusselt number

\(C_{w}\) :

Surface concentration

\(C_{f}\) :

Skin friction coefficient

\(Sh\) :

Local Sherwood number

\(\left( {\rho C_{p} } \right)_{f}\) :

Specific heat capacitance of liquid

\(\kappa\) :

Dimensionless curvature parameter

\(\omega\) :

Stefan blowing parameter

\(B_{0}\) :

Magnetic field

\(Du\) :

Dufour number

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

Local Reynolds number

\(M\) :

Magnetic parameter

\(\rho_{f}\) :

Density of liquid

\(Sr\) :

Soret number

\(\tau_{rs}\) :

Shear stress

\(\gamma\) :

Newtonian heating parameter

\(C\) :

Concentration

\(T_{\infty }\) :

Ambient temperature of a fluid

\(f^{\prime}\) :

Dimensionless velocity profile

\(\mu_{f}\) :

Dynamic viscosity of a liquid

\(h_{s}\) :

Heat transfer coefficient

\(u,\,v\) :

Velocity components

\(\sigma_{f}\) :

Electrical conductivity

\(h_{m}\) :

Wall mass flux

\(C_{s}\) :

Concentration susceptibility

\(p\) :

Pressure

\(C_{\infty }\) :

Ambient concentration

\(P\) :

Dimensionless pressure

\(\theta\) :

Dimensionless temperature profile

\(T\) :

Temperature of a liquid

\(k_{T}\) :

Thermal diffusion ratio

\(\nu_{f}\) :

Kinematic viscosity of a liquid

\(r,s\) :

Coordinates

\(T_{m}\) :

Mean temperature

\(Sc\) :

Schmidt number

\(\chi\) :

Non-dimensional concentration profile

\(q_{w}\) :

Wall heat flux

\(\alpha_{1}^{*}\) :

Second grade fluid parameter

\(a\) :

Stretching constant

\(R\) :

Distance

\(k_{f}\) :

Thermal conductivity

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Authors and Affiliations

  1. Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India

    R. J. Punith Gowda, R. Naveen Kumar & B. C. Prasannakumara

  2. Bangalore Institute of Technology, Bangalore, India

    A. M. Jyothi

  3. Department of Mechanical Engineering, University of West Attica, 12244, Athens, Greece

    I. E. Sarris

Authors
  1. R. J. Punith Gowda
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  2. A. M. Jyothi
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  3. R. Naveen Kumar
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  4. B. C. Prasannakumara
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  5. I. E. Sarris
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Correspondence to I. E. Sarris.

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Punith Gowda, R.J., Jyothi, A.M., Naveen Kumar, R. et al. Convective Flow of Second Grade Fluid Over a Curved Stretching Sheet with Dufour and Soret Effects. Int. J. Appl. Comput. Math 7, 226 (2021). https://doi.org/10.1007/s40819-021-01164-6

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