The effect of chemical reaction on the unsteady dispersion of solute in blood flow through a pipe and a channel between two parallel plates is analyzed mathematically, treating the blood as Casson fluid. Generalized dispersion model is applied to solve the convective-diffusion equation. It is seen that the dispersion function at steady state and relative axial diffusivity decrease with the increase of chemical reaction rate while the reverse behavior is shown by dispersion function at unsteady state. The dispersion function increases with the increase of yield stress at the center. The dispersion function is considerably higher when the solute disperses in channel flow than in pipe flow and the reverse behavior is depicted by the relative axial diffusivity.
Research Article|
June 21 2016
Mathematical analysis for unsteady dispersion of solute with chemical reaction in blood flow
Nurul Aini Jaafar;
Nurul Aini Jaafar
a)
1School of Mathematical Sciences,
Universiti Sains Malaysia
, 11800 USM, Penang, Malaysia
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Yazariah Mohd Yatim;
Yazariah Mohd Yatim
b)
1School of Mathematical Sciences,
Universiti Sains Malaysia
, 11800 USM, Penang, Malaysia
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D. S. Sankar
D. S. Sankar
c)
2Engg. Mathematics Unit, Faculty of Engg.,
Universiti Teknologi Brunei
, Gagong, BE1410, Brunei
Darussalam
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AIP Conf. Proc. 1750, 030033 (2016)
Citation
Nurul Aini Jaafar, Yazariah Mohd Yatim, D. S. Sankar; Mathematical analysis for unsteady dispersion of solute with chemical reaction in blood flow. AIP Conf. Proc. 21 June 2016; 1750 (1): 030033. https://doi.org/10.1063/1.4954569
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