Briefly discuss the difference between derivative operators d and . If the deriv

Question

Briefly discuss the difference between derivative operators d and . If the derivative u/x appear in an equation, what does this imply about variable u? What does the word kinematics mean? Explain what the study of fluid kinematics involves. Consider steady flow of water through an ax symmetric garden hose nozzle (Fig. P4-3). Along the center line of the nozzle, the water speed increases from u entrance to u exit as sketched. Measurements reveal that the centerline water speed increases parabolically through the nozzle. Write an equation for centerline speed u(x), based on the paramaters given here, from x = 0 to x = L.

Explanation / Answer

derivative operator is for change in a variable i.e some reasonable change and the other for very small change in variable w.r.to other variable. kinematics means the calculation of kinetic energy of miving objects w.r.t some special moving or stationary objects. u can find the speed of flow of liquid by using simply bernolllis equation of law of conservation of fluids :) i hope it helps you dear

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