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The most popular applications-oriented approach to engineering technology fluid mechanics, this text covers all of the basic principles of fluid mechanics—both statics and dynamics—in a clear, practical presentation that ties theory directly Fluid Mechanics Frank M White 7th Edition Solutions Manual Solution Manual Fox and Mcdonald s Introduction to Fluid Mechanics 8th Edition chapter 1 fluid mechanics by Som Biswas solutions by Pankaj Dumka Fluid Mechanics Munson 7th Solutions Flu Fluid-Mechanics-7th-Edition-White-Solution-Manual.
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Forces Due to Static Fluid 5. White, Fluid Mechanics Solution Manual 6th edition. By definition, it is the amount of thermal energy that must be transferred to a unit mass of substance to raise its temperature by one degree.
The specific heat of a gas depends on the process accompanying the change in temperature. However, if the pressure is held constant during the change in state, then the specific heat is identified as cp. Values for cp and k for various gases are given in Table A.
Internal energy is usually expressed as a specific quantity— that is, internal energy per unit mass. The internal energy is generally a function of temperature and pressure. However, for an ideal gas, it is a function of temperature alone. Consequently their sum, specific enthalpy, is also a function solely of temperature.
For example, crude oil has a higher resistance to shear than does water. Crude oil will pour more slowly than water from an identical beaker held at the same angle.
To understand the physics of viscosity, it is useful to refer back to solid mechanics and the concepts of shear stress and shear strain. The forward and rearward edges become inclined at an. The rate of strain is the rate of change of the interior angle of the original rectangle.
The velocity distribution shown is characteristic of flow next to a stationary solid boundary, such as fluid flowing through a pipe. Several observations relating to this figure will help one to appreciate the interaction between viscosity and velocity distribution. First, the velocity gradient at the boundary is finite. The curve of velocity variation cannot be tangent to the boundary because this would imply an infinite velocity gradient and, in turn, an infinite shear stress, which is impossible.
Also note that the velocity of the fluid is zero at the stationary boundary.
V dy y dV no slip occurs between the fluid and the boundary. This is referred to as the no-slip condition. The no-slip condition is characteristic of all flows used in this text.
From Eq. Because it occurs so frequently, this ratio has been given the special name kinematic viscosity. The symbol used to identify kinematic viscosity is nu. Temperature Dependency The effect of temperature on viscosity is different for liquids and gases.
The viscosity of liquids decreases as the temperature increases, whereas the viscosity of gases increases with increasing temperature; this trend is also true for kinematic viscosity see Fig.
To understand the mechanisms responsible for an increase in temperature that causes a decrease in viscosity in a liquid, it is helpful to rely on an approximate theory that has been developed to explained the observed trends 1.