The present study deals towards investigating the physiological flow of blood in micro-circulatory system. The effects of various parameters on velocity, pressure rise and frictional force of blood have been computed when the Reynolds number is small and wavelength is large by using Homotopy Analysis Method. The computational results are presented in graphical form. The results are found to be good with those of Shapiro et.al [21] that carried out without consideration of couple stress effect.
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