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A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate.

Shahid N - Springerplus (2015)

Bottom Line: Corresponding fractional differential equations have been solved by using Laplace transform and inverse Laplace transform.Some limiting cases of fluid and fractional parameters have been discussed to retrieve some solutions present in literature.The influence of thermal radiation, mass diffusion and fractional parameters on fluid flow has been analyzed through graphical illustrations.

View Article: PubMed Central - PubMed

Affiliation: Forman Christian College, A Chartered University, Lahore, Pakistan.

ABSTRACT
Exact expressions of velocity, temperature and mass concentration have been calculated for free convective flow of fractional MHD viscous fluid over an oscillating plate. Expressions of velocity have been obtained both for sine and cosine oscillations of plate. Corresponding fractional differential equations have been solved by using Laplace transform and inverse Laplace transform. The expression of temperature and mass concentration have been presented in the form of Fox-H function and in the form of general Wright function, respectively and velocity is presented in the form of integral solutions using Generalized function. Some limiting cases of fluid and fractional parameters have been discussed to retrieve some solutions present in literature. The influence of thermal radiation, mass diffusion and fractional parameters on fluid flow has been analyzed through graphical illustrations.

No MeSH data available.


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Velocity profiles for different values of oscillating frequency at = 02 ,, ,, , , , ,  for sine oscillation
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Fig10: Velocity profiles for different values of oscillating frequency at = 02 ,, ,, , , , , for sine oscillation

Mentions: Figures 9 and 10 show a contrasting behavior of velocity profiles for cosine oscillations and for sine oscillations. It is observed that velocity is increasing for decreasing values of oscillating frequency of plate for the case of cosine oscillations and in the case of sine oscillations, it is decreasing with decrease in oscillating frequency. However, it is apparent that in both cases, velocity profiles don’t show much different behavior for bigger values of oscillating frequency. Figures 11 and 12 verify the fact that amplitude of oscillations of velocity field decrease with gradual increase in height. Also, it is observed from Fig. 13 that temperature is influenced negatively by Prandtl number, and thermal radiation parameter, F i.e. increasing values of and F decrease the temperature of fluid.Fig. 9


A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate.

Shahid N - Springerplus (2015)

Velocity profiles for different values of oscillating frequency at = 02 ,, ,, , , , ,  for sine oscillation
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4628018&req=5

Fig10: Velocity profiles for different values of oscillating frequency at = 02 ,, ,, , , , , for sine oscillation
Mentions: Figures 9 and 10 show a contrasting behavior of velocity profiles for cosine oscillations and for sine oscillations. It is observed that velocity is increasing for decreasing values of oscillating frequency of plate for the case of cosine oscillations and in the case of sine oscillations, it is decreasing with decrease in oscillating frequency. However, it is apparent that in both cases, velocity profiles don’t show much different behavior for bigger values of oscillating frequency. Figures 11 and 12 verify the fact that amplitude of oscillations of velocity field decrease with gradual increase in height. Also, it is observed from Fig. 13 that temperature is influenced negatively by Prandtl number, and thermal radiation parameter, F i.e. increasing values of and F decrease the temperature of fluid.Fig. 9

Bottom Line: Corresponding fractional differential equations have been solved by using Laplace transform and inverse Laplace transform.Some limiting cases of fluid and fractional parameters have been discussed to retrieve some solutions present in literature.The influence of thermal radiation, mass diffusion and fractional parameters on fluid flow has been analyzed through graphical illustrations.

View Article: PubMed Central - PubMed

Affiliation: Forman Christian College, A Chartered University, Lahore, Pakistan.

ABSTRACT
Exact expressions of velocity, temperature and mass concentration have been calculated for free convective flow of fractional MHD viscous fluid over an oscillating plate. Expressions of velocity have been obtained both for sine and cosine oscillations of plate. Corresponding fractional differential equations have been solved by using Laplace transform and inverse Laplace transform. The expression of temperature and mass concentration have been presented in the form of Fox-H function and in the form of general Wright function, respectively and velocity is presented in the form of integral solutions using Generalized function. Some limiting cases of fluid and fractional parameters have been discussed to retrieve some solutions present in literature. The influence of thermal radiation, mass diffusion and fractional parameters on fluid flow has been analyzed through graphical illustrations.

No MeSH data available.


Related in: MedlinePlus