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Research Papers: Micro/Nanoscale Heat Transfer

Effects of Hall Current and Chemical Reaction on Magnetohydrodynamics Unsteady Heat and Mass Transfer of Casson Nanofluid Flow Through a Vertical Plate

[+] Author and Article Information
Rajib Biswas

Mathematics Discipline,
Khulna University,
Khulna 9208, Bangladesh
e-mail: rajibkumath11@gmail.com

Sarder Firoz Ahmmed

Professor
Mathematics Discipline,
Khulna University,
Khulna 9208, Bangladesh
e-mail: sfahmmed@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 23, 2017; final manuscript received April 2, 2018; published online May 22, 2018. Assoc. Editor: George S. Dulikravich.

J. Heat Transfer 140(9), 092402 (May 22, 2018) (12 pages) Paper No: HT-17-1492; doi: 10.1115/1.4039909 History: Received August 23, 2017; Revised April 02, 2018

In this paper, we have reported the effects of Hall current on magnetohydrodynamics (MHD) unsteady heat and mass transfer of Casson nanofluid flow through a vertical plate in the presence of radiation and chemical reaction. The model equations have been used for the Casson nanofluid and they include the effects of thermophoresis and Brownian motion. Then, the obtained model equations have been transformed into nondimensional form by the usual mathematical procedure of transformation and the resultant nondimensional couple of partial differential equations are solved by explicit finite difference technique. Then, the obtained results are plotted after stability test by using the graphical software tecplot-9 and these results indicate the fluid flow, temperature, and concentration distributions which are significantly invaded by the variation of different dimensionless parameters such as magnetic parameter, Schmidt number, thermal Grashof number, Lewis number, Prandtl number, mass Grashof number, Dufour number, thermophoresis parameter, Brownian motion parameter, chemical reaction, and radiation parameter on velocity, temperature, and concentration along with the skin friction coefficient, Nusselt number, and Sherwood number. Further, the results have been discussed also with the help of graphs. Furthermore, it is observed that with the increase of the Casson parameter, velocity puts down, whereas by increasing the heat generation parameter, the temperature profiles are decreased.

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References

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Figures

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Fig. 1

Physical model and coordinate system

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Fig. 2

Primary velocity profiles for different values of Gr, Gm, m, and Ra and against Y when M = 0.2, Pr = 1.0, Sc = 0.6, Ec = 0.01, Du = 0.5, Nt = 0.8, Nb = 0.5, and Le = 2.5

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Fig. 3

Secondary velocity profiles for different values of Gr, Gm, m, and Ra against Y when M = 0.2, Pr = 1.0, Sc = 0.6, γ = 0.50, Nt = 0.8, Nb = 0.5, and Le = 2.5

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Fig. 4

Primary velocity profiles for different values of β, K, and M against Y when Pr = 1.0, Sc = 0.6, Ra = 0.5, Ec = 0.01, Du = 0.5, m = 0.4, γ = 0.50, Nt = 0.8, Nb = 0.5, and Le = 2.5

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Fig. 5

Secondary velocity profiles for different values of β, K, and M against Y when Pr = 1.0, Sc = 0.6, Ra = 0.5, Ec = 0.01, Du = 0.5, m = 0.4, γ = 0.50, Nt = 0.8, Nb = 0.5, and Le = 2.5

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Fig. 6

Temperature profiles for different values of Nb, Du, Ra, S, Ec, and Nt against Y when M = 0.2, Pr = 1.0, Sc = 0.6, m = 0.4, Sr = 1.0, γ = 0.50, and Le = 2.5

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Fig. 7

Temperature profiles for different values of Pr against Y when M = 0.2, Sr = 1.0, Sc = 0.6, Ra = 0.5, Ec = 0.01, Nt = 0.8, Nb = 0.5, Du = 0.5, m = 0.4, γ = 0.50, and Le = 2.5

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Fig. 8

Concentration profiles for different values of Nb, Ra, and Nt against Y when M = 0.2, Pr = 1.0, Sr = 1.0, Sc = 0.6, Ec = 0.01, Du = 0.5, m = 0.4, γ = 0.50, and Le = 2.5

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Fig. 9

Concentration profiles for different values of Sr against Y when M = 0.2, Pr = 1.0, Sc = 0.6, Ra = 0.5, Ec = 0.01, Nt = 0.8, Nb = 0.5, Du = 0.5, m = 0.4, γ = 0.50, and Le = 2.5

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Fig. 10

Streamlines for γ = 0.50 (white dashed line) and γ = 1.50 (black dashed line)

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Fig. 11

Isotherms for γ = 0.50 (white dashed line) and γ = 1.50 (black dashed line)

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Fig. 12

Streamlines for Ra = 0.50 (white dashed line) and Ra =1.50 (black dashed line)

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Fig. 13

Isotherms for Ra = 0.50 (white dashed line) and Ra =1.50 (black dashed line)

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