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a circular jet of water impinges on a flat plate as shown in figure p1049 the water spreads out equally in all
1 a surge of depth h moves into a stagnant tidal pool of depth 1 m at a speed of 6 ms relative to a stationary observer
a tidal bore is moving upstream into a river of depth 1 m and constant width and the bore raises the water level by 1 m
1 a surge is moving at 9 f ts into a basin of depth 14 f t where the speed is zero find the water depth behind the
1 a surge is moving at 10 f ts into a depth 2 f t where the speed is zero find the water depth behind the surge2 a
1 what is the speed of a sound wave in air at 300degk what is the speed in helium at the same temperature can you
air with a stagnation temperature of 700degk is compressed by a normal shock if the upstream mach number is 30 find the
1 show that if f is an entire function of finite order that omits two values then f is constant this result remains
1 find the maximum increase in density across a shock wave for a gas with gamma 142 a blowdown wind tunnel is supplied
1 show that the equation eznbsp- z 0 has infinitely many solutions in chint apply hadamards theorem2 deduce from
a holomorphic mapping f u rarr v is a local bijection on u if for every z isin u there exists an open disc d sub u
supppose fz is holomorphic near z z0nbspand fz0 f z0 0 while fz0 ne 0 show that there are two curves gamma1nbspand
1 suppose u and v are conformally equivalent prove that if u is simply connected then so is v note that this conclusion
the results of given exercise extend to the case when gamma is assumed merely to be closed simple and continuous the
1 a pelton wheel of 4 m diameter operates with a head of 1000 m estimate the flow rate and power output of the machine
a turbine of the francis type operates with a head of 200 m and flow rate of 3m3s the peak efficiency occurs at a head
suppose that a1ar and b1br are the zeros and poles respectively in the fundamental parallelogram of an elliptic
air having an initial mach number of 24 a freestream static pressure of 105 p a and a static temperature of 270degk is
a supersonic flow passes over a symmetrical wedge of semi-angle alpha 10deg at the leading edge an attached shock of
suppose tau is purely imaginary say tau it with t gt 0consider the division of the complex plane into congruent
what is the biological significance of the skeleton and supporting system in
1 an air flow with a mach number of 20 passes through an oblique shock wave inclined at an angle of 45deg find the
a large reservoir maintains air at 68times105 p a and 15degc the air flows isentropically through a convergent and
consider pythagorean triples a b c with a2nbsp b2nbsp c2 and with a b c isin z suppose moreover that a and b have no
use the formula for r2n to prove the followinga if n p where p is a prime of the form 4k 1 then r2n 8 this implies