2- Consider the arrangement of a collector tank, pump and reservoir tank shown in Figure. Taking the pump pressure requirement equation from Section 8 iv: P_{p}=\frac{1}{2} \rho_{-} x_{2}^{2}+\rho_{-} g h_{2}-\rho_{-} g h_{1}+f_{h}-\rho_{q} P_{p}=\rho g \cdot\left(h_{2}-h_{1}+f_{h}\right) And assuming the kinetic energy term is negligible gives us: This is the general equation for calculating the pressure requirement for a pump. Combined with two other Equation (B) which gives the power that needs to be supplied to the pump (Win): W_{\text {in }}=P_{p} \cdot Q / \gamma which gives the electrical power required (We): W_{e}=I . V it is possible to derive the pump specification for a series of different diameter delivery pipes,assuming a given volumetric flow rate. A reservoir tank is 100m uphill from a water source, the difference in height between the two is 20 m. It is proposed to use a pump to push the water up to the reservoir tank at a flow rate of 0.5 1/s. Two pipe diameters of ½" and 1" are available to link the two. What size pumps are required (in Watts) for each pipe diameter, assuming a pump efficiency of 50% and what electrical current is required assuming the smaller pump is chosen and we are stealing the electricity from a 110 V pylon ?. we have 100m of pipe and for a flow rate of 0.51/s the frictional head loss chart gives the following results for ½" and 1" dia. pipes: Taking the density of water as p= 1000 Kg/m³ and the acceleration due to gravity as g = 9.81 m/s².

Multiple questions. Consider a fluidized bed fed with 2 atm air at 25 C; particles have density 910 kg/m3, size 0.23 mm, shape factor 0.81 and Emf = 0.4. Cross section of empty bed is 0.4 m2 and contains 250 kg solids. Find Lmf in meters and Ap in Pa. Show work on scratch for each of these. Multiply these together, and closest to: A) 6500 B) 6000 C) 8000 D) 7000 E) 7500

2. 35 points A fire truck is sucking water from a river and delivering it through a longhose to a nozzle. The total length of the galvanized iron hose - corrected for valves,fittings, entrance, etc. – is 90 [m]. The energy provided by the fire truck for pumping thewater is 53 [kJ/kg]. What hose diameter is needed for the pump to achieve an average velocity of 30[m/s]?

What are the key differences between Mass Transit and Paratransit?

^^20Given^^20\psi(x,y)=2xy+2x\vee(1.5,0.5)^^20is^^20closest^^20to,^^20m/s\colon A)-1 B) 3 C)-3 D) 0 E) 1

Consider the Navier Stokes and continuity: \text { dvidt }+v \cdot V v=f(1 / \rho) \mathrm{V} P+V \vee^{2} v+1-\mathrm{g} \mathrm{V} \cdot \mathrm{v}=0 in CV; u(x)=3; u(x+dx)=4; v(y)=5; v(y+dy)=4 Which is not true? A) dw/dz may allow d/dz and w terms to be cancelled, or it can be w(z)=w(d+dz) B) must have 3-D flow C) left side of = represents convection D) right side of represents driving force and diffusion E) only valid for constant density and viscosity (Newtonian) fluids

What is Traffic Calming?

What is the viscosity of the fluid (in lbm/(ft-s))?

In polymer extrusion processes, a viscous polymer of viscosity u is forced to flowsteadily from left to right (distance L) in the annular area between two fixedconcentric cylinders by applying a pressure difference Pout - Pin. The inner cylinderis solid, whereas the outer one is hollow; their radii are R1 and R2, respectively.The problem, which could occur in the extrusion of plastic tubes, is to find thevelocity profile in the annular space and the total volumetric flow rate Q. Note thatcylindrical coordinates are now involved. (a) Giving reasons, simplify the continuity equation at steady state using cylindricalcoordinates \frac{\partial \rho}{\partial t}+\frac{1}{r} \frac{\partial}{\partial r}\left(\rho r v_{r}\right)+\frac{1}{r} \frac{\partial}{\partial \theta}\left(\rho v_{\theta}\right)+\frac{\partial}{\partial z}\left(\rho v_{z}\right)=0 (b) Giving reasons, simplify the Navier-Stokes equations for the velocity component which is not zero. \rho\left(\frac{\partial v_{r}}{\partial t}+v_{r} \frac{\partial v_{r}}{\partial r}+\frac{v_{\theta}}{r} \frac{\partial v_{r}}{\partial \theta}+v_{z} \frac{\partial v_{r}}{\partial z}-\frac{v_{\theta}^{2}}{r}\right)=-\frac{\partial p}{\partial r}+\mu\left[\frac{\partial}{\partial r}\left(\frac{1}{r} \frac{\partial}{\partial r}\left(r v_{r}\right)\right)+\frac{1}{r^{2}} \frac{\partial^{2} v_{r}}{\partial \theta^{2}}+\frac{\partial^{2} v_{r}}{\partial z^{2}}-\frac{2}{r^{2}} \frac{\partial v_{\theta}}{\partial \theta}\right]+\rho g_{r} \rho\left(\frac{\partial v_{\theta}}{\partial t}+v_{r} \frac{\partial v_{\theta}}{\partial r}+\frac{v_{\theta}}{r} \frac{\partial v_{\theta}}{\partial \theta}+v_{z} \frac{\partial v_{\theta}}{\partial z}+\frac{v_{r} v_{\theta}}{r}\right)=-\frac{1}{r} \frac{\partial p}{\partial \theta}+\mu\left[\frac{\partial}{\partial r}\left(\frac{1}{r} \frac{\partial}{\partial r}\left(r v_{\theta}\right)\right)+\frac{1}{r^{2}} \frac{\partial^{2} v_{\theta}}{\partial \theta^{2}}+\frac{\partial^{2} v_{\theta}}{\partial z^{2}}+\frac{2}{r^{2}} \frac{\partial v_{r}}{\partial \theta}\right]+\rho g_{\theta} \rho\left(\frac{\partial v_{z}}{\partial t}+v_{r} \frac{\partial v_{z}}{\partial r}+\frac{v_{\theta}}{r} \frac{\partial v_{z}}{\partial \theta}+v_{z} \frac{\partial v_{z}}{\partial z}\right)=-\frac{\partial p}{\partial z}+\mu\left[\frac{1}{r} \frac{\partial}{\partial r}\left(r \frac{\partial v_{z}}{\partial r}\right)+\frac{1}{r^{2}} \frac{\partial^{2} v_{z}}{\partial \theta^{2}}+\frac{\partial^{2} v_{z}}{\partial z^{2}}\right]+\rho g_{z} (c) State the two boundary conditions needed to solve the simplified Navier-Stokes equations from (b). (d) Assuming negligible gravity effects, solve the equation derived in (b) subjected to the boundary conditions from (c) to show that the velocity profile of the viscous polymer flowing horizontally along the annulus is given by: u_{\mathrm{z}}=\frac{1}{4 \mu}\left(\frac{P_{O U T}-P_{I N}}{L}\right)\left[r^{2}-R_{1}^{2}+\frac{R_{1}^{2}-R_{2}^{2}}{\ln \left(\frac{R_{1}}{R_{2}}\right)} \ln \left(\frac{R_{1}}{r}\right)\right] (e) Derive an expression for the shear force (i.e., friction F,) arising from the shearing stress between the fluid flow (z-direction) and the external cylinder radial surface wall (r-direction).

A continuous belt passes upward through a chemical bath at velocity Vo and picks up a film of liquid of thickness h, density p, and viscosity u. Gravity tends to make the liquid drain down, but the movement of the belt keeps the fluid from running off completely. Assume that the flow is a well-developed laminar flow with zero pressure gradient, and that the atmosphere produces no shear at the outer surface of the film. Use the shell-balance approach to (1) derive the governing differential equations. (2) State the-boundary conditions for the systems. (3)Determine the velocity profile. Clearly list any-assumptions needed. [DO NOT sketch the velocity profile.]