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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.


Related in: MedlinePlus

Velocity profiles for different values of t at , , , , , , , , , ,  for cosine oscillation
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Fig1: Velocity profiles for different values of t at , , , , , , , , , , for cosine oscillation

Mentions: Figures 1 and 2 represent velocity profiles for different values of t ad for fixed values of , , , , M, F, , , , f and for sine and cosine oscillations. It can be observed that near the plate for starting time, the velocity profiles override each other but the velocity increases eventually for increasing values of time t. Also, it can be seen in both graphs that velocity is vanishing for higher values of y as was expected because the impact of oscillations on fluid gets weaker as fluid gets farther away from the plate.Fig. 1


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

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

Fig1: Velocity profiles for different values of t at , , , , , , , , , , for cosine oscillation
Mentions: Figures 1 and 2 represent velocity profiles for different values of t ad for fixed values of , , , , M, F, , , , f and for sine and cosine oscillations. It can be observed that near the plate for starting time, the velocity profiles override each other but the velocity increases eventually for increasing values of time t. Also, it can be seen in both graphs that velocity is vanishing for higher values of y as was expected because the impact of oscillations on fluid gets weaker as fluid gets farther away from the plate.Fig. 1

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