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Which choice is the differential , incompressible, two-dimensional continuity equation in Cartesian coordinates?
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Chapter 9 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
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- H.W: Evaluate the integral: 11-x || | dydzdx 0 0 x+zarrow_forwardto evaluate the following integral you = have to assume u * 1 dx J Vä(1+ 9x)arrow_forwardLet f be any non-zero real valued function in x and y and R be a closed bounded region above the x-axis. Then the double integral of f over R is always positive * False Truearrow_forward
- Which of the following dimensions belongs in the set (force, velocity, acceleration, magnetic field}? * mass speed displacement temperature When two vectors are perpendicular, their * dot product is zero cross product is zero. both are zero both are not necessarily zero The cross product of tWO vectors 3İ + 4j -5k and-i+j- 2k isarrow_forwardThe given vector field is F=〈2x,3y〉 Sketch 2 flow lines with the equation of the flow linesarrow_forward- The projection of the vector i+3j+7k on the vector 2î + 6j+3k is: a: 41 41 b: 7V59 41 c: V59 d: 4arrow_forward
- 3. The temperature of points in space given by a scalar field is T(x, y, z) = x² + y² − z a. Find the temperature, T, at the point (-1, 0, 5). b. Evaluate the directional derivative of the scalar function T(x, y, z) at the point (1, 3, -1) in the direction of (2, 1,2). c. An isothermal is a surface upon which the temperature of the surface is constant i. find the equation of the isothermal (i.e. the surface) through the point (1,1,2) by making z the subject ii. y plane s.t. in Matlab plot the equation of the isothermal contours in the x -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5 (include screenshot) d. A mosquito is located at the point (1,1,2), and desires to fly in such a direction that it will get cool as soon as possible. In what direction should it move and why?arrow_forwardThe continuity equation is based on the principle of conservation of mass. Select one: True Falsearrow_forwardwhich of the following is true about the curve y^2= (4x^2)/(1+x^2) a) The curve is symmetric with respect to the x-axis, y-axis, and the origin. b) The curve is symmetric with respect to the x and y axes only. c) The curve is symmetric with respect to the y-axis only. d) The curve is symmetric with respect to the x-axis only.arrow_forward
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