Abstract
The state of flow for a Newtonian liquid between a truncated cone and plate (TCP) in relative rotation has been calculated by numerical methods for gap anglesθ0 in the range 2° to 10° and Reynolds numberRe in the range 0 to 10,000. The simulation results in the cone-plate (CP) region are consistent with the analytical results of King and Waters for the caseR = ∞ (R is the cone radius), forRe = 0 (primary flow) and also for highRe (with inertial force effects included), except near the free liquid boundary. It is found that the boundary thickness of the flow disturbance is a function ofθ0 andRe alone. A smooth and continuous transition from parallel-plate (PP) flow to CP flow region near the truncation edger = r0 is found for all the conditions investigated. ForRe < 500, disturbances to the primary velocity field (a unidirectional shear flow) forθ0 equal to 2° and 3° are everywhere less than 0.1%, when expressed in terms of shear rate. For the commonly used conditions, whereRe ⩽ 10, flow disturbances due to inertia should not make difficulties in the use of the TCP apparatus.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call