Papers On Mechanical And Physical Subjects volume 3
Papers On Mechanical And Physical Subjects volume 3
Osborne Reynolds
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The only values of R which are not included in the list above are the values of R for transverse waves for the region between the state of no diffusion and that at which diffusion becomes easy, and in this case the value of R varies, very rapidly at first, but at a diminishing rate, from 2 to 1. 201. The rates of decrement in a normal wave. Taking x for the direction of propagation and motion, the motion harmonic and w/' 2 for the maximum value of u" 2 ; the mean value is Mi" 2 /2, and the mean... energy V 2 /4. The two rates of irreversible dissipation of energy by angular inequalities and linear inequalities are obtained \>y omitting the d/dt in the coefficients of both the terms of equation (302) and dividing by p. For convenience putting A for the sum of the coefficients for the angular inequalities, and L for the sum of the coefficients for the linear inequalities, resolving in direction x, we have for the respective rates of dissipation And we have for the mean square of the inequality, mean energy of motion, and total energy, q*/2a 2, and q z /a 2 respectively.
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