Heat & Fluid I Definitions Chapter 1: Mechanics – the oldest physical science that deals with both stationary and moving bodies under the influence of forces Statics – The branch of mechanics that deals with bodies at rest Dynamics – The branch that deals with bodies in motion Fluid Mechanics – The science that deals with the behavior of fluids at rest (fluid statics) or in motion (fluid dynamics), and the interaction of fluids with solids or other fluids at the boundaries Fluid dynamics – Fluid mechanics is also referred to as fluid dynamics by considering fluids at rest as a special case of motion with zero velocity Hydrodynamics – The study of motion of fluids that can be approximated as incompressible (such as liquids, especially water, and gases at low speeds) Hydraulics – A subcategory of hydrodynamics, which deals with liquid flows in pipes and open channels Gas dynamics – Deals with flow of fluids that undergo significant density changes, such as the flow of gases through nozzles at high speeds Aerodynamics – Deals with the flow of gases (especially air) over bodies such as aircraft, rockets, and automobiles at high or low speeds Meteorology, Oceanography, and Hydrology – Deal with naturally occurring flows Fluid – A substance in the liquid or gas phase, a fluid deforms continuously under the influence of a shear stress, no matter how small Solid – Can resist an applied shear stress by deforming Stress – Force per unit area Shear Stress – The tangential component of a force acting on a surface per unit area Pressure – The normal stress in a fluid at rest Liquid – Molecules can rotate and translate freely Gas – Molecules are far apart from each other, and molecular ordering is nonexistent Vapor – Usually implies that the current phase is not far from a state of condensation Macroscopic or Classical Approach – Does not require a knowledge of the behavior of individual molecules and provides a direct and easy way to analyze engineering problems Microscopic or Statistical Approach – Based on the average behavior of large groups of individual molecules No-Slip Condition – The requirement that at the interface between a fluid and a solid surface, the fluid velocity and surface velocity are equal. Thus if the surface is fixed, the fluid must obey the boundary condition that fluid velocity = 0 at the surface Boundary Layer – The flow region adjacent to the wall in which the viscous effects (and thus the velocity gradients are significant) Viscous Flows – Flows in which the frictional effects are significant Inviscid Flow Regions – In many flows of practical interest, there are regions (typically regions not close to solid surfaces) where viscous forces are negligibly small compared to inertial or pressure forces External Flow – The flow of an unbounded fluid over a surface such as a plate, a wire, or a pipe Internal Flow – The flow in a pipe or duct if the fluid is bounded by solid surfaces Incompressible Flow – If the density of flowing fluid remains nearly constant throughout (liquid flow) Compressible Flow – If the density of fluid changes during flow (high-speed gas flow) Mach Number – Nondimensional ratio of the characteristic speed of the flow to the speed of sound, Mach number characterizes the level of compressibility in response to pressure variations in the flow Laminar Flow – The highly ordered fluid motion characterized by smooth layers of fluid. The flow of high-viscosity fluids such as oils at low velocities is typically laminar Turbulent Flow – The highly disordered fluid motion that typically occurs at high velocities and is characterized by velocity fluctuations. The flow of low-viscosity fluids such as air at high velocities is typically turbulent Transitional Flow – A flow that alternates between being laminar and turbulent Forced Flow – A fluid is forced to flow over a surface or in a pipe by external means such as a pump or a fan Natural Flow – Fluid motion is due to natural means such as the buoyancy effect, which manifests itself as the rise of warmer (and thus lighter) fluid and the fall of cooler (and thus denser) fluid Steady Flow – No change at a point with time Unsteady Flow – Opposite of unsteady Transient – Developing flows (typically) Uniform – No change with location over a specified region Periodic – The kind of unsteady flow in which the flow oscillates about a steady mean Steady-Flow Devices – Devices that operate for long periods of time under the same conditions (turbines, compressors, boilers, condensers, and heat exchangers) One- Two- Three-Dimensional Flows – If the flow velocity varies in one, two, or three dimensions, respectively Uniform Flow – All fluid properties, such as velocity, pressure, temperature… do not vary with position System – A quantity of matter or a region in space chosen for study Surroundings – The mass or region outside the system Boundary – The real or imaginary surface that separates the system from its surroundings Closed System (Control Mass) – A fixed amount of mass, and no mass can cross its boundary Open System (Control Volume) – A properly selected region in space. It usually encloses a device that involves mass flow such as a compressor, turbine, or nozzle. Both mass and energy can cross the boundary of a control volume Control Surface – The boundaries of a control volume, may be real or imaginary Dimensions – Used to characterize a physical quantity Units – The magnitudes assigned to the dimensions Primary or Fundamental Dimensions – Basic dimensions, measurable Secondary or Derived Dimensions – Expressed in terms of the primary dimensions Metric SI System – A simple and logical system based on a decimal relationship between the various units English System – It has no apparent systematic numerical base, and various units in this system are related to each other rather arbitrarily Dimensional Homogeneity – All equations must be Unity Conversion Ratios – identically equal to 1 and are unitless, thus such ratios (or their inverses) can be inserted conveniently into any calculation to properly convert units Chapter 2: Property – Any characteristic of a system. Some familiar properties are pressure P, temperature T, volume V, and mass m Intensive properties – Those that are independent of the mass of a system, such as temperature, pressure, and density Extensive properties – Those whose values depend on the size- or extent- of the system Specific properties – Extensive properties per unit mass Continuum – view a substance as continuous, homogenous matter with no holes, allows us to treat properties as point functions and to assume properties vary continually in space with no jump discontinuities (valid as long as the size of the system we deal with is large relative to the space between the molecules) Specific gravity – The ratio of the density of a substance to the density of some standard substance at a specified temperature (usually water at 4 degrees C) Specific weight – The weight unit volume of a substance Equation of state – Any equation that relates the pressure, temperature, and density (or specific volume) of a substance Ideal-gas equation of state – The simplest and best-known equation of state for substances in the gas phase Kelvin scale – The thermodynamic temperature scale in the SI system Rankine scale – The thermodynamic temperature scale in the English system Ideal gas – A hypothetical substance that obeys the relation Pv=RT, it closely approximates the P-v-T behavior of real gases at low densities Saturation temperature – The temperature at which a pure substance changes phase at a given pressure Saturation pressure – The pressure at which a pure substance changes phase at a given temperature Vapor pressure – The pressure exerted by its vapor in phase equilibrium with its liquid at a given temperature. It is identical to the saturation pressure of the liquid Partial pressure – The pressure of a gas or vapor in a mixture with other gases. For example, atmospheric air is a mixture of dry air and water vapor, and atmospheric pressure is the sum of the partial pressure of dry air and the partial pressure of water vapor Cavitation bubbles – vapor bubbles that form cavities in the liquid, caused by liquid pressure in liquid-flow systems dropping below the vapor pressure at some locations Cavitation - a mechanism in which vapor bubbles (or cavities) in a fluid grow and collapse due to local pressure fluctuations Total Energy – Sum of system energies in several forms- thermal, mechanical, kinetic, potential, electric, magnetic, chemical, and nuclear Macroscopic forms of energy – Those a system possesses as a whole with respect to some outside reference frame, such as kinetic and potential energies Microscopic forms of energy – Those related to the molecular structure of a system and the degree of the molecular activity Internal energy – The sum of all the microscopic forms of energy. Kinetic Energy – The energy that a system possesses as a result of its motion relative to some reference frame Potential Energy – The energy that a system possesses as a result of its elevation in a gravitational field Flow energy/ flow work – The energy per unit mass needed to move the fluid and maintain flow Enthalpy - a thermodynamic quantity equivalent to the total heat content of a system. It is equal to the internal energy of the system plus the product of pressure and volume Water Hammer – Characterized by a sound that resembles the sound produced when a pipe is “hammered”. This occurs when a liquid in a piping network encounters an abrupt flow restriction (such as a closing valve) and is locally compressed Isothermal Compressibility – The inverse of the coefficient of compressibility Coefficient of Volume Expansion – The variation of the density of a fluid with temperature at constant pressure Speed of sound (sonic speed) – The speed at which an infinitesimally small pressure wave travels through a medium Mach number Ma – The ratio of the actual speed of the fluid (or an object in still fluid) to the speed of sound in the same fluid at the same state Viscosity – A property that represents the internal resistance of a fluid to motion or the “fluidity” Drag Force – The force a flowing fluid exerts on a body in the flow direction. The magnitude of this force depends, in part, on viscosity