A microfluidic system is developed to investigate the response of immunes cells to viral pathogens. The immune cells need to be cultured at 37C to ensure they exhibit their physiological responses. To address this requirement, a heater is wrapped around the syringe to regulate the temperature of the medium that is injected to the microfluidic channel.

Question 4: A microfluidic system is developed to investigate the response of immunes cells to viral pathogens. The immune cells need to be cultured at 37C to ensure they exhibit their physiological responses. To address this requirement, a heater is wrapped around the syringe to regulate the temperature of the medium that is injected to the microfluidic channel. - The temperature of the syringe is set to 41.5C. - The external diameter and length of the inlet tube is 1.5mm, and 10cm, respectively. - The width, height and length of the channel is 1500m,150m, and 60mm, respectively. - The convection coefficient at the outside walls of the tube and microfluidic channel is considered as 5W/m2K. - The ambient temperature is set to 20C. - The flow rate of the syringe is set to 180Lit/min. - The density and specific heat capacity of the medium is considered as 1000kg/m3, and 4200J/kg.K, respectively. a. Calculate the heat loss along the tube. (7.5 marks) b. Calculate the temperature at the inlet of the microfluidic channel. (5 marks) c. Calculate the total heat loss along the top and sidewalls of the microfluidic channel. Assume that the bottom wall of the channel is insulated and does not experience any heat loss. (7.5 marks) d. Calculate the temperature at the outlet of the microfluidic channel