5. (10 pts) The temperature and velocity in a flow are distributed as T(x,y) = To...
(5 points) A temperature field T-5ry2 is observed in a steady flow with a velocity field V- 2i+3xj. Calculate the rate of change &T/dt at the point (x,y)-(1,1). Al the coordinates are given in meters, temperature in kelvins, and velocities in meters per second
5) The velocity field for a 2D U=(x-2y)t Ň - (2x+y)t flow Ý is: a) Is this How incompressible? irrotational? 6) Find the acceleration of a Fluid element in this c) Find 0 and 4 for this flow . flow
2.) (12 pts.) Consider the velocity vector field F(x, y) = (y)i - (c); (units: gm/(cm)(sec)). Find the Circulation (Flow) of Falong path C given in the diagram below. У C (90) (0,0) (1,0) Х
2- (50 pts.) A fluid flow in a circular pipe is heated with a constant heat flux. The pipe diameter is set to D=0.2 m and the length of the pipe to L = 1.0 m. The inlet temperature is 300 K and the inlet velocity is uniform. Use the following air properties: p= 1 kg/m?, u=4x10-5 Pa-s, k=0.03 W/m-K. The Reynolds number is Rep and the Prandtl number to Pr=1. A section of the pipe is heated with a...
rk 1 Part 5: x(t) and velocity lo submitted Jan 31 at 1:26am empt took 53 minutes. A particle moves along the x-axis. It's position as a function of time is given by e (t)-3t2t The following questions refer to that situation. Only consider times t greater than or equal to zero (no negative values of t). Note: Some of the questions ask about the maximum velocity attained, or the maximum x-coordinate, etc. Hint: use calculus! A very important application...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
A device produces a square wave current waveform as depicted below i (mA) 10 5 t (sec) fur w It is desired to obtain the triangular voltage waveform shown below v (V) 12 < 1 1 1 3 4 t (sec) What device/element would you use and what are its characteristics including its initial state? Hint: one definition of the square wave is simply the sign function of a sinusoid: x(t) = sign(sin[2nft]) which will be 1 when the sinusoid...
Please provide step by step solution and i will give you a positive rating. Thank you. The temperature of a material is given by: T = e −2t−x^ 2−y^ 2 The velocity field is given by v = (x^2 − y, −2x, 2y − z^2 ) Determine the material time derivative of the temperature.
Biotransport page 1 of HW02 Due: 9/10 Evaluation Prob Pts la) 2 lb) 2 2b) 2 2c) 2 1. Given: Apply conservation principles ·Apply empirical laws Make simplifying assumptions E, R, C all constant Apply auxiliary conditions Q. charge, coul t : time, ts subscripts (0)0 C : capacitor, R: resistor show doLE dt C and 2. 16 Re The graph at the right represents thousands of measurements of fluid flow through a pipe of diameter D and length L...
help resolve
5. (10 pts.) The temperature of a copper wire (a = 3.9 x 10-'K') with a resistance of 100 is increased by 25 K (a) The resistance will increase or decrease? (b) What is the resistance after temperature increased by 25 K? 6. (10 pts.) A copper wire has a radius 0.5 mm and free electron density 8.5 x 10 and it carries current 1.8 A. Calculate the current density and the drift velocity of the copper wire....