BIOPHYSICAL HEAT TRANSFER STUDY FOR THE CONTRACTION AND EXPANSION OF MUSCLES WITH MULTI-WALL CARBON NANOTUBES

Abstract

The present investigation is associated with the contemporary study of viscous flow in a vertical tube with temperature dependent viscosity. The main flow problem has been modeled using cylindrical coordinates and flow equations are simplified to ordinary differential equations using longwave length and low Reynold's number approximation and exact solutions have been obtained for velocity, pressure gradient and temperature. Results acquired are discussed graphically for better understanding. It is seen that with an increment in the Grashof number, the velocity of the governing fluids start to decrease significantly and pressure gradient is higher for pure water as compared to multi-walled carbon nanotubes (MWCNTs) due to low density. As the specific heat is very high for pure water as compared to the multi-wall CNTs, it rise temperature of the muscles for the case of pure water as compared to the MWCNTs. Furthermore, it is noted that the trapped bolus starts to decrease in size as the buoyancy forces are dominant as compared to viscous force.