Problem 3. You've been asked by your senior design mentor to design a machine to apply shear stre...
Problem 3. You've been asked by your senior design mentor to design a machine to apply shear stress to endothelial cells in culture. The device will use a cone-and-plate configuration in which a cone with a very small angle rotates above a flat culture surface. The torque, T, required to rotate the cone at an angular velocity, ω, is a function of the radius, R, the cone angle, α, and the fluid viscosity, u. Using dimensional analysis, determine how the torque would change if both the cone angle and angular velocity are reduced by half. viscosity of medium endothelial cells α-angle of cone plate -angular velocity τ.10 shear stress: static control shear stress (30 dyn/cm2, 24 h)
Problem 3. You've been asked by your senior design mentor to design a machine to apply shear stress to endothelial cells in culture. The device will use a cone-and-plate configuration in which a cone with a very small angle rotates above a flat culture surface. The torque, T, required to rotate the cone at an angular velocity, ω, is a function of the radius, R, the cone angle, α, and the fluid viscosity, u. Using dimensional analysis, determine how the torque would change if both the cone angle and angular velocity are reduced by half. viscosity of medium endothelial cells α-angle of cone plate -angular velocity τ.10 shear stress: static control shear stress (30 dyn/cm2, 24 h)