Banks  concluded that the three-dimensional solution can be exhibited at a two-dimensional stagnation point for a Prandtl
number Pr = 0.72.
where Pr is the Prandtl
number, [C.sub.p] is the specific heat (j/kg-k), [mu] is the viscosity (kg/m-s), and k is the thermal conductivity (w/m-k).
This shows that the unsteady temperature gradient is reduced by high Prandtl
number fluid as well as increasing frequency of the fluctuating temperature and viscous dissipation fails to affect the temperature distribution.
where the Rayleigh number [Ra.sub.x], the nonlinear temperature parameter [gamma], the buoyancy parameter Nr, the Prandtl
number Pr, the Schmidt number Sc, the Peclet number [Pe.sub.x], and the Lewis number Le are defined as
Probes that work based on the Prandtl
principle are inserted into the filter bags measuring the actual cleaning pressure and gas velocity.
Del fisico Aleman Ludwig Prandtl
(1875-1953), pionero contribuidor en temas de aerodinamica, se dice que no podia resistir la tentacion de manipular y experimentar con cualquier juguete que se encontrara, a tal punto que abandonaba temporalmente cualquier tipo de evento en que estuviera participando para hacerlo (Vogel-Prandtl, 2004).
In Fig 3, effect of Prandtl
number (Pr) on non-dimensional temperature [theta] ([eta]) and temperature gradient [theta]' ([eta]) profiles are shown.
where primes denote differentiation with respect to [eta], Pr = [c.sub.p][mu]/[kappa] is the Prandtl
number, and R = [kappa]*[k.sub.1]/4[sigma][T.sup.3.sub.[infinity]] is the thermal radiation parameter.
Khidr and Mahmoud  obtained results for the case of an arbitrary Prandtl
number in strong shock waves, using a modified power law for viscosity in terms of temperature and Machnumber.
and others in Germany might subsequently have developed the theory, Lanchester was the originator of circulation theory and, in my view, should be more widely recognised.
where Pr is the Prandtl
number, M = [RB.sub.0] [square root of ([sigma] / [mu])] is the Hartmann number, Gr = [rho]g[beta][R.sup.2] ([T.sub.w] - [T.sub.[infinity]]) / [w.sub.0][mu] is the Grashoff number and Re is the Reynolds number.
The first such machine, dating to 1864, is credited to German inventor and brewer Antonin Prandtl
. His machine consisted of a vertical axis rotated by a crank handle on which a crossbar containing two small buckets was mounted.