Question

The velocity components for steady flow through the nozzle shown in Fig. P4.47 are u = Vox/l and v = Vo[1+(y/l)], where Vo and l are constants. Determine the ratio of the magnitude of the acceleration at point (1) to that at point (2).

Answer 1

In Physics, specifically fluid dynamics, the question focuses on comparing accelerations at two points in steady flow through a nozzle. It involves using the continuity equation and derivatives of velocity components to find acceleration, given that conditions are steady and the fluid is incompressible.

Step-by-step explanation:

The subject question relates to the field of Physics, particularly fluid dynamics and the concept of steady flow through a nozzle. In such situations, we analyze the flow by relating the velocity components to the physical geometry of the nozzle and the conservation of mass using the continuity equation. For a steady incompressible flow, the flow rate (Q) is constant, implying that Q1 = Q2. Therefore, A1U1 = A2U2 for areas A1 and A2 with corresponding velocities U1 and U2.

To address the student's question, the acceleration components at both points, based on given velocity components, need to be compared. Although the problem information is incomplete to fully calculate and compare accelerations directly, typically, you would compute the derivatives of velocity components over time to find the acceleration and then compare magnitudes. If constants Vo and l are given, that would provide enough information to determine the ratio of magnitudes of acceleration at points (1) and (2).