The less following data is measured for the dimensionless velocity u of a fluid as a function of dimensionless location and dimension time t: t=0 t=2 t=4 t=6 t=8 x=0 0 3 14 7 5 x=0.5 8 10 14 12 10 x = 1 2 7 8 9 7 x = 1.5 13 15 22 16 9 x=2 15 18 22 17 14 By hand, calculate the acceleration of the fluid, au/at and the spatial change in acceleration of the fluid, ²u/(Ətər) a) at 1 and t-4 with second order accuracy; b) at z 0 and t-2 with second order accuracy;

Please solve the sub parts A,B,C with the step.. The all part same the chapter thank u A. Investigate with dimensional analysis, is this equation true       t = [ 2x / a ]1/2 B. Express 0.00034 m in microns C. Express 8.31 x 1014 seconds in pico seconds

Problem 1: Pipe Flow This figure shows the cross-section of a circular pipe whose diameter decreases as it changes direction. If the average velocity at the inlet is UoQ/Ao 2 m/s, and the fluid is incompressible, estimate the velocity at Point 2 with the following assumptions: Part A Assume an ideal fluid. U₂ Streamlines Part B Assume a real fluid under laminar flow (estimate with brief explanation). Part C Assume a real fluid under turbulent flow (estimate with brief explanation). Equipotential lines Point 2 Approximate square

> | E9 docs.google.com/form تبديل الحساب Questions 7 نقاط Q1/ The power of 6-blade flat blade turbine agitator in a tank is a function of diameter of impeller, number of rotations of the impeller per unit time, viscosity and density of liquid. From a dimensional analysis, obtain a relation between the power and the four variables. 3. صفحة 2 من

Problem 1: The discharge pressure (P) of a centrifugal pump shown below is a function of flow rate (Q), impeller diameter (D), fluid density (p), and impeller angular speed (12). P = f (Q. D, p. 92). Use the Buckingham pi technique to rewrite this function in terms of dimensionless parameters, 1 g (n₂). P= P(Q,D, Dimensions 2) N= 5 Q. P

Which of the following dimensionless parameters is the correct arrangement of the given parameters? (select all that O a. Pi = (Dp)/(Rho*V) Dp: Pressure change Rho: Density V: Velocity O b. Pi = (V*L*(Rho))/(nu) V: Velocity L: length Rho: Density nu: Dynamic viscosity O. Pi = Q/((A^1.5)*w) Q: Volumetric discharge rate A: Area w: Angular velocity O d. Pi = (a)(t^2)/(L) L: length a: acceleration t time

The spin rate of a tennis ball determines the aerodynamic forces acting on it. In turn, the spin rate is a§ectedby the aerodynamic torque. If the torque depends on áight speed V , density , viscosity , ball diameter D,angular velocity !, and the fuzz height, hf , Önd the important dimensionless variables for this case. Use V ,, and D as your scaling (repeating) variables.

Consider a boundary layer growing along a thin flat plate. The boundary layer thickness & at a downstream distance x is a function of x, the fluid density p, dynamic viscosity, and free stream velocity V. Use Buckingham's theorem with p, x and V as repeating variables, to obtain the relationship between dimensionless parameters Is. Figure 3.2

A Moving to another question will save this response. Quèstion 2 Sl units of dynamic viscogity are: Ns/m? Nm2/s s/m? m2/s A Moving to another question will save this response.

Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx   where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.