A THEORETICAL APPROXIMATION FOR LAMINAR FLOW BETWEEN ECCENTRIC CYLINDERS

Taylor-Couette flow between two concentric cylinders has received much attention due to its use in various applications, including biomedical devices, micro electro-mechanical systems, polymer pumping and electric motor cooling. Due the complex interaction of viscosity involved geometry within confined space, different regimes are dominant under conditions, affecting fluid dynamics heat transfer. In analyzing mentioned flow, besides experimental computational studies, analytical models have been developed with varying levels complication. present study, using homotopy both domain eccentric cylinders, a practical formula for is developed. doing so, an appropriate transformation function embedded into velocity equation cylinders. The resultant tested against simulation results. A validity margin analysis performed based on variation mass rate It seen that proposed model applicable all gap distances, unlike previous restricted narrow gaps. Finally, separate quantify error estimates method also derived, which involves ratio eccentricity.