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Problem 1. Using r r/D ; z z/D; is already dimensionless; V V/Vo; P P/Vo 2 ; t t/(D/Vo); g g/g. Transform the equations provided

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Problem 1. Using r r/D ; z z/D; is already dimensionless; V V/Vo; P P/Vo 2 ; t t/(D/Vo); g g/g. Transform the equations provided to their dimensionless form. Considering Newtonian, incompressible flow, and steady state. + 1 () + 1 () + () = 0 ( + + + + ) = 1 + ( ( 1 () ) + 1 2 2 2 + 2 2 + 2 2 ) +

Problem 2. Water is flowing from a hose attached to a water main at 400 kPa (gauge pressure). Stuart places his thumb to cover most of the hose outlet (Figure 1), causing a thin jet of high-speed water to emerge. If the hose is held upward, What is the maximum height that the jet could achieve? Hint. Assume velocities at point 1, and 2 are zero. (water= 1000 Kg/m3 ; g = 10 m/s2 )

Problem 1. Using r = r/D; 7 = z/D; O is already dimensionless; V = VNo; P = P/pV62; T = t/(DN.); o = gdg. Transform the equations provided to their dimensionless form. Considering Newtonian, incompressible flow, and steady state. ap 1 2 (prvr) 1 2 (PV) (PV) a + + + = 0 at r ar r ae az ave ave. V are aveVVA + VC + + V2 + at ar z ve =-- 1 + rae a 1 arve) ar 1 02V. alv. 2 OV + + r2 at Oz2r220) Pge rae ozz *rz 20)+P90 Problem 2. Water is flowing from a hose attached to a water main at 400 kPa (gauge pressure). Stuart places his thumb to cover most of the hose outlet (Figure 1), causing a thin jet of high-speed water to emerge. If the hose is held upward, What is the maximum height that the jet could achieve? Hint. Assume velocities at point 1, and 2 are zero. (Pwater= 1000 Kg/m3; g = 10 m/s2) Water jet Ho Hose Figure 1

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