2. (10 pts) Demonstrate that the u and v velocity components in Question 1 satisfy the...
The components of a velocity field are given by u = x + y, and v = xy3 + 81 and w = 0. Determine the location of the stagnation point (V = 0) in the flow field where y is positive
4. (10 pts) A Newtonian liquid of viscosity u and den- sity p flows under the impetus of gravity betwecen 2 parallel plates a distance b apart, both being inclined at an angle 0 (Fig. 2). For this laminar, steady flow, the velocity component in the flow direction, u(y), is governed by the momentum equation y -flow b x and the remaining velocity components are v-w 0. If the no-slip boundary condition applies at the walls, ie, u(0) = u(b)...
demonstrate process please Question 5 3 pts A small object has mass 8.4 kg and the charge 0.9 C. It is is placed in an electric field of the strength 2,296 N/C. Enter the magnitude of the acceleration of the charge due to the electric force rounded off to ONE decimal place? (Hint: need to use Newton's second law of motion] Question 6 3 pts A particle of mass 0.2 kg and charge 0.6 C is placed at a point...
The x and y components of velocity for 2D flow are u = 3 m/s and v = 9x2 m/s, where x is in meter. Determine the equation of the streamlines (y) and plot the graph of the streamline when y = 0 for the range of -10 <=x <= 10 and -10 <= y <= 10
Question 1 (10 points) Rotational Flow and Vorticity The velocity components for a two-dimensional flow are u = ln hie) v = created where C is a constant. Is the flow irrotational?
2) The stream function and potential function for inviscid flow satisfy the continuity equation and the conservation of momentum equation. True or False. Explain ? note: this question using the book Fundamentals of Momentum, Heat and Mass Transfer, Sixth Edition “ chapter 10 “
Meng334(fluids mechanics) plz solve it fast in 10 mins please Q2: A steady two-dimensional, incompressible flow of a Newtonian fluid with the velocity field: v = y2-x2 u-2 x y and w 0 (a) Does the flow satisfy conservation of mass. (b) Find the total pressure gradient VP) (c) Show that the pressure field is a smooth function of x and y. Don't compute the pressure. (9x 9y 0) = Q2: A steady two-dimensional, incompressible flow of a Newtonian fluid...
True or False 1. If u, v are vectors in R"and lu + v1l = ||||| + ||v||, then u and v are orthogonal. 2. If p locates a point on a line l in Rand if n # 0 is normal to l, then any other point x on I must satisfy n.x=n.p. 3. A binary vector is a vector with two components which are integers modulo 2. 4. The set of solution vectors to the linear system Ax=b...
Question 5 (8 marks) The cart in Figure 1 moves at constant velocity V, and takes on water with a scoop of width B that dips h into a pond (the width B is normal to the paper). The fluid velocity in the pond is v=0. Neglect air drag and wheel friction. The aim is to estimate the force required to keep the cart moving. Assume density is constant. (i) Select a C.V. and clearly indicate w, v and n...
1. For differentiable vector functions u and v, prove: u'(t) X v(t)+ u(t) X v'(t) lu(t) X v(t)] 2. For the differentiable vector function u and real-valued function f, prove: lu(f(t)))= f(t)u' (f (t)) 1. For differentiable vector functions u and v, prove: u'(t) X v(t)+ u(t) X v'(t) lu(t) X v(t)] 2. For the differentiable vector function u and real-valued function f, prove: lu(f(t)))= f(t)u' (f (t))