Athin elastic wire is placed between rigid supports. a fluid flows past the wire, and it is desired to study the static deflection,δ, at the center of the wire due to the fluid drag. assume thatδ=f(ℓ,d, rho, u,v, e),whereℓis the wire length, dthe wire diameter, rhothe fluid density,μthe fluid viscosity, vthe fluid velocity, andethe modulus of elasticity of the wire material. develop a suitable set of pi terms for this problem.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.

Different types of steels contain different elements that alter the characteristics of the steel. for each of the following elements, explain what the element does when alloyed with steel.