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Along a streamline,...

Along a streamline,

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The figure shows a non-viscous, incompressible and steady flow in front of a sphere. A-B is a horizontal streamline. It is known that the fluid velocity along this streamline is given by V=V_(0)(1+(R^(3))/(x^(3))).V_(0) is velocity of flow on this streamline when xrarr(-oo) . It is given that pressure at xrarr(-oo) is P_(0) and density of liquid is rho . (i) Write the variation of pressure along the streamline from pointA, far away from the sphere, to point B on the spehre. (ii) Plot the variation of pressure along the streamline from x=-oo to x=-R.

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