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 “
2) The stream function and potential function for inviscid flow satisfy the continuity equation and the...
A potential (i.e. steady-state, incompressible, inviscid, irrotational) flow can be described by a stream function w(x,y) that minimizes the functional vlv(x,y)- Admissible stream functions v(x,y) must be twice continuously differentiable and satisfy given }ady n( boundary conditions. Determine the Euler-Lagrange (Ostrogradski) equation
5. The following equation is a classic function for potential of a fluid flow: $ = -a/2 (x² - y2) Does this equation satisfy the requirement of continuity and irrotationality? (10 pts)
The following equation is a classic function for potential of fluid flow: phi= -a/2 (x2–y2)Does this equation satisfy the requirement of continuity and irrotationality?
Construct expressions for the stream function and velocity potential of flow around a circular cylinder. This is a source and a sink in a uniform stream, separated by a fixed distance. 1. Visualize the Flow Net (the streamlines and velocity potential lines) 2. Determine an expression for the velocity field. Note that the book uses cylindrical coordinates here Construct expressions for the stream function and velocity potential of flow around a circular cylinder. This is a source and a sink...
don’t us excel please Problem 3. (30 points) From inviscid potential flow analysis, as a uniform stream approaches a cylinder of radius R along the symmetry line AB in the figure, the velocity has only one component: u(x)U for 0<xs-R where U, is the stream velocity far from the cylinder. a. Using EXCEL, plot u(x) along AB from -0.4<x<-0.05 when R-0.05 m and U,-4 m/s. Label axes with variables and dimensions and add a title to the plot. Since the...
provide a short answer explaining why it is true or false. book used is fundamentals of heat and mass transfer 7th edition A. Once an engineer chooses a material, the heat transfer properties of that material are independent of the operating conditions (e.g. temperature or pressure) True or False? B.Fin efficiency is the ratio of the heat transfer using the fin to the heat transfer using a non-conduction fin. True or False? C. The boundary conditions applicable to 2D conduction...
Question 1 (40 points) From potential flow theory, the combination of a doublet and a uniform flow gives the flowfield around a cylinder. The resulting velocity potential for the flow is given by: A cos Ur cos e The resulting velocity field in cylindrical coordinates is given by - = 4 r ae ar where e, and eo are the unit vectors in cylindrical polar coordinates, Uo is the free-stream velocity and A an arbitrary parameter. a) (10 points) Determine...
a) Derive the general stream function of a potential flow around a cylinder of radius R given the stream functions Y of a uniform flow and a doublet are uniformUy 'doublet where Uis the speed of the uniform flow and C is the strength of the doublet. (5 marks) b) Find the specific stream function assuming the streamline on the surface of the cylinder is Ψ-0 (5 marks) c) Find the velocities at two points (-3R, 0 and (-2R, 0)....
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
note: this question using the book Fundamentals of Momentum, Heat and Mass Transfer alt command optionY (30 points) Use the Navier-Stokes equations to determine the velocity profile for the axial flow between two stationary coaxial circular tubes. The flow occurs due to a constant pressure gradient dP/dz. Let the inner tube have a diameter of R1 and the outer tube to have a diameter of R2. 5)