Asian Research Thesis Index

Abstract

In this thesis mathematical models of the spermatozoa transport through the Newtonian, Jeffrey and couple stress ﬂuids ﬁlled in the cervical canal are developed and investigated theoretically. Modeling of the biomechanical model provides the partial differentials equations and the subsequent equations are solved analytically. Physical quantities like pressure gradient, mucus velocity, propulsive velocity, time mean ﬂow rate, mucus temperature and heat transfer coefﬁcients are examined for the appurtenant parameters. Salientfeaturesofthepumpingcharacteristicsareobserved. Itisnoticedthatthepropulsive velocity of the swimming sheet of the spermatozoa enhances for higher Reynolds number, lower Froude number, and vertical canal. It is intriguing to take note of that, maximal slippage on the upper cervical wall and zero slippage on the lower cervical wall amplify the probability of the spermatozoa to prepare a fertilized ovum. It is found that pressure rise facilitates the motion of spermatozoa to fertilize an ovum in the female reproductive tract whereas pressure drop inverts the direction of spermatozoa to the vagina and controls the probability of pregnancy. It is clear that the inclusion of porous medium lessens the propulsive velocity of the spermatozoa. Minute impact of phase difference on propulsive velocity is evident. The spermatozoa attain their maximum propulsive velocity for nonporous cervical walls. An increment in slip parameter and Reynolds number cause enhancement in the propulsive velocity of the spermatozoa. Effects of constant, linear, sinusoidal, logarithmic and exponential secreting velocities on propulsive velocity are also explored. Furthermore,comparisonofthepropulsivevelocityofnon-Newtonianﬂuidwith the propulsive velocity of Newtonian ﬂuid is made. Comparison of the current analysis with the existing literature and experimental data is also made.

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