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Chemical reactive flow of Jeffrey fluid due to a rotating disk with non-Fourier heat flux theory

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Abstract

The present paper explores non-Fourier heat flux theory for Jeffrey fluid flow subject to a rotating disk. The current analysis is executed in the presence of homogeneous–heterogeneous reactions. Relevant system of equations is constructed and appropriate transformations lead to self-similar forms. Convergent series solutions are computed for the resulting nonlinear differential system by homotopy analysis method. Graphical illustrations thoroughly demonstrate the features of involved pertinent parameters. Skin friction coefficients are also obtained and discussed graphically. Current computations reveal that the radial velocity experience declines with the decay of Deborah number. Further, fluid temperature declines for higher Prandtl number.

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Abbreviations

u :

Radial velocity component

v :

Transverse velocity component

w :

Axial velocity component

r :

Radial coordinate

θ :

Azimuthal coordinate

z :

Axial coordinate

\(\Omega \) :

Angular velocity

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

Disk surface temperature

\(T_{\infty }\) :

Ambient fluid temperature

A, B :

Chemical species

a, b :

Chemical species concentration

\(k_{\mathrm{c }},k_{\mathrm{s }}\) :

Rate constants

\(\lambda _{1}\) :

Retardation time

α :

Ratio of relaxation to retardation time

\(\rho \) :

Density

\(c_{\mathrm{p }}\) :

Specific heat

\({\mathbf {q}}\) :

Heat flux

\(D_{\mathrm{A }}\), \(D_{\mathrm{B }}\) :

Diffusion coefficients

T :

Temperature

k :

Thermal conductivity

\(\lambda _{2}\) :

Relaxation time

Pr:

Prandtl number

β :

Deborah number

\(\gamma \) :

Thermal relaxation time

\(\delta \) :

Ratio of diffusion coefficients

Sc:

Schmidt number

\(k_{1}\) :

Strength of homogeneous reaction parameter

\(k_{2}\) :

Strength of heterogeneous reaction parameter

\(\mu \) :

Dynamic viscosity

\(\tau _{\mathrm{rz }}\) :

Surface radial stress

\(\tau _{\uptheta \mathrm{z}}\) :

Surface tangential stress

\(\mathop {\mathrm{Re}}\nolimits \) :

Reynolds number

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Authors and Affiliations

  1. Department of Social and Behavioral Sciences, National University of Medical Sciences, Rawalpindi, Pakistan

    Maria Imtiaz

  2. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan

    Fiza Shahid & Tasawar Hayat

  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 80203, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat & Ahmed Alsaedi

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  1. Maria Imtiaz
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  2. Fiza Shahid
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Correspondence to Maria Imtiaz.

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Imtiaz, M., Shahid, F., Hayat, T. et al. Chemical reactive flow of Jeffrey fluid due to a rotating disk with non-Fourier heat flux theory. J Therm Anal Calorim 140, 2461–2470 (2020). https://doi.org/10.1007/s10973-019-08997-w

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