By Elemer Bobok
ISBN-10: 0444986685
ISBN-13: 9780444986689
Written basically to supply petroleum engineers with a scientific analytical method of the answer of fluid movement difficulties, this publication will however be of curiosity to geologists, hydrologists, mining-, mechanical-, or civil engineers. It presents the information priceless for petroleum engineers to advance layout tools for drilling, creation, shipping of oil and gasoline. simple mechanical legislation are utilized for ideal fluid move, Newtonian fluid, non-Newtonian fluid, and a number of part flows. parts of gasoline dynamics, a non-familiar remedy of concern waves, boundary layer conception, and two-phase movement also are incorporated.
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Sample text
When all n equations are added together one obtains Since the total mass of the body is always constant, it is necessary for the conductive fluxes (the sum of the sources and the sinks), to vanished. The conservation of mass equation may be rewritten in differential form. 1 THE PRINCIPLE OF CONSERVATION OF MASS 37 by means of Gauss’s divergence theorem: I[% V I +div(e6) dV=O. Since the limit of integration is arbitrary and e and 6 are continuous functions with continuous derivatives, the integrand must be zero.
84) where p is the pressure, I is the unit tensor, V is the viscous stress tensor. Since V is symmetric, the product of V and the antisymmetric part of B 0 Vmust vanish. 85) dt where S is the rate of deformation tensor. The first law of thermodynamics can be written as de = Tds-pd ):( . 87) Substituting this into the internal energy equation, and since ('e> p div ir= e p ! -, dt we obtain ds eT-=V:S-divij. ,and its conductive flux Q/T.
Thus we obtain -++edivi,=O. e. whether or not the flow is locally time-dependent. The principle of conservation of mass may be formulated in either integral or differential form. Both forms express the same physical principle. When applying the integral form it is important to remember that the enclosing surface A must be closed: it encloses a finite volume V of the space through which the fluid flows. Some parts of the boundary surface may consist of real material boundaries, such as pipe walls.
Fluid Mechanics for Petroleum Engineers by Elemer Bobok
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