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Significance of Arrhenius activation energy in flow and heat transfer of tangent hyperbolic fluid with zero mass flux condition

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Abstract

The current endeavor scrutinizes the flow of tangent hyperbolic fluid over a moving stretched surface. The characteristics of heat transfer are conferred by utilizing nonlinear radiation. Further features of mass transfer are characterized with activation energy. The problem is modeled in terms boundary layer equations by implementing the relative laws. The independent variables in the governing equations through suitable transformations are reduced which are further tackled numerically via RKF-45 technique. Several physical parameters are varied in order to evaluate the behaviors of velocity, temperature and concentration distributions. It is established that higher values of We parameter increases the velocity profile. Further it is obtained that rate of heat transfer enhances as Nr parameter increases.

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Abbreviations

b :

Stretching rate

C f :

Skin friction

c p :

Specific heat

C :

Nanoparticle volume fraction

D B :

Brownian diffusion coefficient

D T :

Thermophoresis diffusion coefficient

E :

Activation energy

k :

Thermal conductivity (W/mK)

k * :

Mean absorption coefficient (W/mK)

Nb :

Brownian motion parameter

Nt :

Thermophoresis parameter

Nu :

Local Nusselt number

Nr :

Radiation parameter

Pr :

Prandtl number

Sc :

Schmidt number

Sh x :

Local Sherwood number

T :

Temperature of the fluid (K)

T w :

Temperature at the wall (K)

T :

Ambient fluid temperature (K)

u,v :

Velocity components along x and y Directions (ms−1)

u w :

Stretching sheet velocity (W/mK)

x :

Coordinate along the stretching Sheet (m)

y :

Distance normal to the stretching sheet (m)

ν :

Kinematic viscosity

ϕ :

Rescaled nanoparticle volume fraction

ρ :

Density of the base fluid (kg/m3)

σ :

Reaction rate

δ :

Temperature difference

κ :

Boltzmann constant

θ :

Dimensionless temperature

η :

Similarity variable

α :

Thermal diffusivity

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Ganesh Kumar, K., Baslem, A., Prasannakumara, B.C. et al. Significance of Arrhenius activation energy in flow and heat transfer of tangent hyperbolic fluid with zero mass flux condition. Microsyst Technol 26, 2517–2526 (2020). https://doi.org/10.1007/s00542-020-04792-y

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