Papers On Mechanical And Physical Subjects volume 2
Papers On Mechanical And Physical Subjects volume 2
Osborne Reynolds
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And from equation (17), Section IV. , by integration being the value of h when x= x l where the pressure is a maximum. Integrating with respect to x, and putting p = II at the boundaries -2- cm t * 1 ~~ o i m { I 1 + W - I 1 + VM a \ ( '"' f "i+il 52] AND ITS APPLICATION TO MR B. TOWER'S EXPERIMENTS. 265 or putting W for the load per unit of breadth, TV is a maximum when m = l'2 approximately and again, by equation (19) f, = Pjf (36); therefore I f x dx =, log e (1 + in) (37) ; and if m 1'2 ^=6...572^ (38). In order to render the application of equations (35) and (38) clear, a particular case may be assumed. Let fi = 10~ 5, which is the value for olive oil at a temperature of 70 Fahr. , the unit of length being the inch, and that of force the Ib. Let U = 60 (inches per sec. ) A, = -0003. Then from (35), the load in Ibs. Per square inch of lubricated surface is given by W = 1070a 2, a and from (38), the frictional resistance in Ibs. Per square inch is F_ a This seems to be about the extreme case of perfect lubrication between plane metal surfaces having what appears to be about the minimum value of h, .
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