Abstract
A novel theoretical model for unsteady, non-isothermal flow with temperature variant viscosity for the Newtonian fluid in the presence of transverse magnetic field is studied in the ductus efferentes of human male reproductive tract. Importance of cilia for the fluid transport through ductus efferente is elaborated in this study. To investigate the flow, we considered a channel and constant temperature difference is imposed between the wall of channel. A mathematical model is developed and analytical solution is achieved with the help of Adomian decomposition method (ADM) for MHD heat and fluid flow with temperature dependent viscosity. Flow is modeled by considering assumptions that Reynolds number is small, so that inertial forces are insignificant and wavelength to diameter ratio is maximum, so that pressure can be assumed uniform in the channel. Solutions are presented for the exponential dependent viscosity on temperature. Effect of different flow parameters on the axial and transverse component of velocity are analyzed graphically. Pumping characteristic due to ciliary beat from one row of cilia to another are investigated. Lastly variation of different flow parameters on the trapped bolus and pressure are examined graphically.
Highlights
The ductus efferentes comprise of various micro-vessels which build important link between the testis and epididymis.1,2 Walls of these vessels consists of single epithelium cell which resides in a small layer of smooth muscles and adjoining tissue.2 These vessels transport the sperm from rete testis to the epididymis and reabsorbs large fluid in quantity coming from the rete testis
In this study we extended the work of Lardner et al.1 the unsteady non-isothermal MHD flow of Newtonian fluid with temperature dependent viscosity in ductus efferentes of male reproductive tract when a constant temperature difference is applied between the wall of the channel is investigated
It is worth mentioning that we have developed a mathematical model and obtained analytical solution using Adomian decomposition method (ADM) for the heat and fluid flow with general dependence of viscosity on temperature
Summary
The ductus efferentes comprise of various micro-vessels which build important link between the testis and epididymis. Walls of these vessels consists of single epithelium cell which resides in a small layer of smooth muscles and adjoining tissue. These vessels transport the sperm from rete testis to the epididymis and reabsorbs large fluid in quantity coming from the rete testis. The ductus efferentes comprise of various micro-vessels which build important link between the testis and epididymis.1,2 Walls of these vessels consists of single epithelium cell which resides in a small layer of smooth muscles and adjoining tissue.. Forces responsible for the fluid flow, in constriction section might be developed over the cilia (these forces hamper the free area at the middle region) This may conclude in destroying cilia showing that uniform muscle may not be the prime force responsible for the fluid movement in the ductus efferentes. In this study we extended the work of Lardner et al. the unsteady non-isothermal MHD flow of Newtonian fluid with temperature dependent viscosity in ductus efferentes of male reproductive tract when a constant temperature difference is applied between the wall of the channel is investigated. This study will be helpful in cilia-oriented actuators as micro-mixer flow regulator in the minute biosensor and in micro-pumps which are used for drug providing units
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