Shahid N
Forman Christian College, A Chartered University, Lahore, Pakistan.
Springerplus. 2015 Oct 24;4:640. doi: 10.1186/s40064-015-1426-4. eCollection 2015.
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.
已经计算了分数阶磁流体动力学粘性流体在振荡平板上的自由对流流动中速度、温度和质量浓度的精确表达式。对于平板的正弦和余弦振荡都得到了速度表达式。通过使用拉普拉斯变换和拉普拉斯逆变换求解了相应的分数阶微分方程。温度和质量浓度的表达式分别以福克斯 - H函数的形式和一般赖特函数的形式给出,而速度则以使用广义函数的积分解的形式给出。讨论了流体和分数阶参数的一些极限情况,以得到文献中存在的一些解。通过图形说明分析了热辐射、质量扩散和分数阶参数对流体流动的影响。