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

Concentration profiles for different values of  at t = 0.2
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Fig18: Concentration profiles for different values of at t = 0.2

Mentions: It can be seen from Figs. 14 and 15 that concentration of fluid increases with increasing time but increasing values of Schmidth number, have negative impact on concentration of fluid. Figures 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 validate the boundary condition as . Influence of fractional parameters on fluid motion is studied through Figs. 16, 17 and 18. These graphs clearly show that velocity, temperature and concentration of fluid decrease for increasing values of fractional parameters , and , respectively. In Figs. 17 and 18, we have also retrieved profiles of temperature and concentration for ordinary MHD convective flow over an oscillating plate by assuming and .


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

Shahid N - Springerplus (2015)

Concentration profiles for different values of  at t = 0.2
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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

Fig18: Concentration profiles for different values of at t = 0.2
Mentions: It can be seen from Figs. 14 and 15 that concentration of fluid increases with increasing time but increasing values of Schmidth number, have negative impact on concentration of fluid. Figures 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 validate the boundary condition as . Influence of fractional parameters on fluid motion is studied through Figs. 16, 17 and 18. These graphs clearly show that velocity, temperature and concentration of fluid decrease for increasing values of fractional parameters , and , respectively. In Figs. 17 and 18, we have also retrieved profiles of temperature and concentration for ordinary MHD convective flow over an oscillating plate by assuming and .

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