Limits...
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.


Related in: MedlinePlus

Velocity profiles for different values of  and M at t = 0.2 , , , , , ,  for cosine oscillation
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Fig7: Velocity profiles for different values of and M at t = 0.2 , , , , , , for cosine oscillation

Mentions: Figures 3 and 4 make comparison between velocity profiles for varying values of thermal Grashof number, , mass Grashof number, and Hartmann number, M and other fluid and fractional parameters are taken to be fixed. Besides the different shape of velocity profiles for sine oscillations and cosine oscillations, it is observed that velocity increases with increase in and and decreases with increase in M. The influence of parameters M, F and on free convective fluid motion has been depicted through Figs. 5, 6, 7 and 8. All these graphs point to the fact that velocity has inverse relation with Schmidth number, , Harmann number, M and thermal radiation parameter, F even if the pattern of velocity profiles is different for sine and cosine oscillations. It is also noted that velocity responds to the changes of M faster than the changes in and F.Fig. 3


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  and M at t = 0.2 , , , , , ,  for cosine oscillation
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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

Fig7: Velocity profiles for different values of and M at t = 0.2 , , , , , , for cosine oscillation
Mentions: Figures 3 and 4 make comparison between velocity profiles for varying values of thermal Grashof number, , mass Grashof number, and Hartmann number, M and other fluid and fractional parameters are taken to be fixed. Besides the different shape of velocity profiles for sine oscillations and cosine oscillations, it is observed that velocity increases with increase in and and decreases with increase in M. The influence of parameters M, F and on free convective fluid motion has been depicted through Figs. 5, 6, 7 and 8. All these graphs point to the fact that velocity has inverse relation with Schmidth number, , Harmann number, M and thermal radiation parameter, F even if the pattern of velocity profiles is different for sine and cosine oscillations. It is also noted that velocity responds to the changes of M faster than the changes in and F.Fig. 3

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