## Dh Sentence Examples

- Linke's mean value for dV/
**dh**at the ground was 125. - DW F - d -v 1+ a 7rK dx
**dH**(38) (34) [[[Magnetic Measurements]] If Ho is constant, the force will be zero; if Ho is variable, the sphere will tend to move in the direction in which Ho varies most rapidly. - If V is the volume of a ball, H the strength of the field at its centre, and re its apparent susceptibility, the force in the direction x is f= K'VH X
**dH**/dx; and if K',, and are the apparent susceptibilities of the same ball in air and in liquid oxygen, K' Q -K'o is equal to the difference between the susceptibilities of the two media. - From the series for G and H just obtained it is easy to verify that
**dH**= - 7rvG, dv av - dG _ 7rvH -1. - 2wr { a 0, dt2WE+2UC+ dz = o, dw dt - 2un+2v+
**dH**= 0, where H = fdp/p +V +1q 2, (7) 2 2 +v 2 2 (8) and the three terms in H may be called the pressure head, potential head, and head of velocity, when the gravitation unit is employed and Zq 2 is replaced by 1q 2 1 g. - Taking the axis of x for an instant in the normal through a point on the surface H = constant, this makes u = o, = o; and in steady motion the equations reduce to
**dH**/dv=2q-2wn = 2gco sin e, (4) where B is the angle between the stream line and vortex line; and this holds for their projection on any plane to which dv is drawn perpendicular. - In plane motion (4) reduces to
**dH**= 2q"= q /av q? - If r denotes the radius of curvature of the stream line, so that I dp + dV -
**dH**_ dq 2 q2 (6) p dv dv dv dv - r ' the normal acceleration. - The osculating plane of a stream line in steady motion contains the resultant acceleration, the direction ratios of which are du du, du d i g d g 2 _
**dH**dx +v dy + dz - 2v? - 1 = yv24, (2) y 2 y y y suppose; and in steady motion, + y 2 dx v-t ' = o,
**dH**+y 2dy0 2P = o, so that 2 "/ y = - y2, 7 2 1,G =**dH**/d is a function of 1,G, say f'(> '), and constant along a stream line;**dH**/dv = 2qi', H -f (1/.) = constant, throughout the liquid. - If the substance in any state such as B were allowed to expand adiabatically (
**dH**= o) down to the absolute zero, at which point it contains no heat and exerts no pressure, the whole of its available heat energy might theoretically be recovered in the form of external work, represented on the diagram by the whole area BAZcb under the adiabatic through the state-point B, bounded by the isometric Bb and the zero isopiestic bV. - In the notation of the calculus the relations become -
**dH**/dp (0 const) = odv /do (p const) (4)**dH**/dv (0 const) =odp/do (v const) The negative sign is prefixed to**dH**/dp because absorption of heat +**dH**corresponds to diminution of pressure - dp. The utility of these relations results from the circumstance that the pressure and expansion co efficients are familiar and easily measured, whereas the latent heat of expansion is difficult to determine. - We thus obtain the expressions
**dH**= sdo +0 (dp I dO) dv = Sd0 - o (dv/do) dp.. - In virtue of relations (2), the change of entropy of a substance between any two states depends only on the initial and final states, and may be reckoned along any reversible path, not necessarily isothermal, by dividing each small increment of heat,
**dH**, by the temperature, 0, at which it is acquired, and taking the sum or integral of the quotients,**dH**/o, so obtained. - (29) (30) The expression for the change of entropy between any two states is found by dividing either of the expressions for
**dH**in (8) by 0 and integrating between the given limits, since**dH**/B is a perfect differential. - In any small reversible change in which the substance absorbs heat,
**dH**, from external sources, the increase of entropy, d0, must be equal to**dH**/9. - By Carnot's principle, in all irreversible processes,
**dH**/0 must be algebraically less than do, otherwise it would be possible to devise a cycle more efficient than a reversible cycle. - If dW is the external work done,
**dH**the heat absorbed from external sources, and dE the increase of intrinsic energy, we have in all cases by the first law,**dH-dE**=dW. - Since Od4 cannot be less than
**dH**, the difference (61d4-dE) cannot be less than dW. - The values of the corresponding functions for the liquid or solid cannot be accurately expressed, as the theoretical variation of the specific heat is unknown, but if we take the specific heat at constant pressure s to be approximately constant, and observe the small residual variation
**dh**of the total heat, we may write F'=s'D+**dh**+B'. - G' =s'e(i - log e 0) +(
**dh**- Dd4) - A'D+B'. - Rearranging the terms, and dividing throughout by 0, we obtain an equation of the form R log ep= A - B/D - (s' - So)loge0+(c - b)p/D+(
**dh**/D - d4)) (44) in which B=B" - B', and A = A'+s' - So. - The term (
**dh**/0 - d4)) depending on the variation of the specific heat of the liquid may be made very small in the case of water by a proper choice of the constant s'. **Dh-r**), it would seem that the peculiar marks of the Nazarite are primarily no more than the usual sign that a man is under a vow of some kind.- Adopting this definition, without restriction to the case of an ideal vapour or to saturation-pressure, the rate of variation of the total heat with temperature (
**dH**/dO) at constant pressure is equal to S under all conditions, whether S is constant, or varies both with p and 0. - Assuming
**dH**/do = 0.305 for saturated steam, he found that S was nearly independent of the pressure at constant temperature, but that it varied with the temperature from o 387 at 100° C. to o 665 at 160° C. Writing Q for the Joule-Thomson " cooling effect," dO/dp, or the slope BC/AC of the line of constant total heat, he found that Q was nearly independent of the pressure at constant temperature, a result which agrees with that of Joule and Thomson for air and COs; but that it varied with the temperature as (1/0) 3.8 instead of (i/0) 2. - Employing the values of S calculated from
**dH**/d0 = 0.305, he found that the product SQ was independent of both pressure and temperature for the range of his experiments. - The rate of increase of the total heat, instead of being constant for saturated steam as in Regnault's formula, is given by the equation
**dH**/d0 =S(1 - Qdp/d0). - The mean value, 0.313 of
**dH**/d0, between loo° and 200° agrees fairly well with Regnault's coefficient 0.305, but it is clear that considerable errors in calculating the wetness of steam or the amount of cylinder condensation would result from assuming this important coefficient to be constant. - Since the specific heat of the liquid increases rapidly at high temperatures, while
**dH**/d0 diminishes, it is clear that the latent heat must diminish more and more rapidly as the critical point is approached. - If we write h=sot+
**dh**, where so is a selected constant value of the specific heat of the liquid, and**dh**represents the difference of the actual value of h at t from the ideal value sot, and if we similarly write q5 = sologe(6/90)+dcp for the entropy of the liquid at t, where do represents the corresponding difference in the entropy (which is easily calculated from a table of values of h), it is shown by Callendar (Proc. R.S. - 73) is discussed, and where reason is given for thinking that the change of initial f (from an original bh or
**dh**) into an initial h was a genuine mark of Faliscan dialect. - Old 0 and
**dh**frequently become y Old Persian orZend. - Change of the original aspirates gh,
**dh**, bh (=x, 9, ~) into th corresponding medials Sanskrit. - The aspirated mediae bh,
**dh**, gh, gh were treated as unaspirated b, d, g, g; probably also the rare aspirated tenues fell together with the unaspirated. - Either two sounds are confused under one symbol, or these records represent a dialect which, like Hebrew and Assyrian, shows sh, z, and c, where the ordinary Aramaic representation is t, d, and t, the Arabic tic,
**dh**, and th. - RiOnµc); (5) the change of original
**dh**to d (anda = Gr. - 1900, loc. cit.) that the effect of the variation of the specific heat of the liquid is represented in the equation for the vapour-pressure by adding to the right-hand side of (23) the term - (d4-
**dh**/9)/R. - If we proceed instead by the method of integrating the equation H -h =6(v-w)dp/d6, we observe that the expression above given results from the integration of the terms -
**dh**/R0 2 +w(dp/d9)/R9, which were omitted in (25). - 1902) for the specific heat of water between ioo° and 200° C., we find the values of the difference (d4-
**dh**/9) to be less than one-tenth of do at 200° C. The whole correction is therefore probably of the same order as the uncertainty of the variation of the specific heat itself at these temperatures.