determine the pump efficiency ratio of power of pump and the input ele

Question

Determine the pump efficiency (ratio of power of pump and the input electric power) of an Electrokinetic pump consisting of a single straight microfluidic channel with a circular cross section, with the information provided below: The microchannel is etched in glass, and has a diameter of 80 µm and a length of 12mm. The electrical potentials at the inlet and outlet ports are 1200 V and 0 V, respectively. The viscosity, ŋ and relative dielectric constant, ɛ, of the liquid are 103 kg/m-sec and 78,respectively. The dielectric constant of vaccum is ɛo = 8.85x10-14 F/cm. Assume zeta potential, to be -38 mV. Assume the fluid is homogenous and the electrical impedance (resistance, R) of the filled channel is 1200 MQ.