3. Suppose that the velocity of a fluid flowing over the plane can be expressed as a 7 = -√(x, y) gradient of a scalar f
Posted: Thu Jun 09, 2022 3:27 pm
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3. Suppose that the velocity of a fluid flowing over the plane can be expressed as a 7 = -√(x, y) gradient of a scalar field. Let p(x,y)be the real part of the complex function of F(2) = voz + (₂ Where z= x+yi. (1) Express z in polar coordinates (p.). If Fp.)= (p.p)+iv(p.) (p. w is a real function), write how are and w given for (p.) (2) Express in polar coordinates. (3) Find V.vandv xv, and physically describe the properties of this fluid. a²
3. Suppose that the velocity of a fluid flowing over the plane can be expressed as a 7 = -√(x, y) gradient of a scalar field. Let p(x,y)be the real part of the complex function of F(2) = voz + (₂ Where z= x+yi. (1) Express z in polar coordinates (p.). If Fp.)= (p.p)+iv(p.) (p. w is a real function), write how are and w given for (p.) (2) Express in polar coordinates. (3) Find V.vandv xv, and physically describe the properties of this fluid. a²