PROBLEM 3.3 Incompressible fluid is set in motion between two
... This is identical to the heat removed from the upper plate given in equation (v). (5) Comments. (i) Treating the plate as infinite is one of the key simplifying assumptions. This eliminates the x-coordinate as a variable and results in governing equations that are ordinary. Alternatively, one could ...
... This is identical to the heat removed from the upper plate given in equation (v). (5) Comments. (i) Treating the plate as infinite is one of the key simplifying assumptions. This eliminates the x-coordinate as a variable and results in governing equations that are ordinary. Alternatively, one could ...
Chapter 7 Applications of Thermodynamics to Flow Processes
... The process is internally reversible within the control volume. Heat transfer between the control volume and its surroundings is reversible. ...
... The process is internally reversible within the control volume. Heat transfer between the control volume and its surroundings is reversible. ...
Chapter 7b Specific head_Critical Depth_Hydraulic Jump b
... The flow depth is on the vertical axis as in nature. There’s one flow depth where most of the specific head is held as potential energy (y), and just a little is held as kinetic energy (V2/2g), AND there’s another one where most of the energy is kinetic, and little is potential. There’s also one spe ...
... The flow depth is on the vertical axis as in nature. There’s one flow depth where most of the specific head is held as potential energy (y), and just a little is held as kinetic energy (V2/2g), AND there’s another one where most of the energy is kinetic, and little is potential. There’s also one spe ...
THE DOPPLER EFFECT 9 APRIL 2013 Key Concepts
... Waves are emitted from a source to a listener. When the source is moving, the distance between waves (the wavelength) is changed. Because the wavelength changes, the frequency that is heard will change. The Doppler Effect is the change in observed frequency as a result in a difference of velocities ...
... Waves are emitted from a source to a listener. When the source is moving, the distance between waves (the wavelength) is changed. Because the wavelength changes, the frequency that is heard will change. The Doppler Effect is the change in observed frequency as a result in a difference of velocities ...
101 uses of a quadratic equation: Part II
... formulated this law he was thinking mainly of the motion of rigid bodies. However, it was soon realised that the same laws could be applied to the way fluids such as water and air moved. In particular, it is possible to use Newton's laws to find relationships between the speed of a fluid and its pre ...
... formulated this law he was thinking mainly of the motion of rigid bodies. However, it was soon realised that the same laws could be applied to the way fluids such as water and air moved. In particular, it is possible to use Newton's laws to find relationships between the speed of a fluid and its pre ...
Isentropic and Ideal Gas Density Relationships
... where γ is the ratio of CP, the specific heat at constant pressure, to CV, the specific heat at constant volume; P is the pressure; and Ï is the density. The subscript t stands for the total (or stagnation) conditions. In the following example, AcuSolveTM is used to solve for the isentropic flo ...
... where γ is the ratio of CP, the specific heat at constant pressure, to CV, the specific heat at constant volume; P is the pressure; and Ï is the density. The subscript t stands for the total (or stagnation) conditions. In the following example, AcuSolveTM is used to solve for the isentropic flo ...
Document
... requiring the solutions of differential equations to provide the required relationships; external flow calculations, such as the lift and drag on an airfoil, often fall into this category. ...
... requiring the solutions of differential equations to provide the required relationships; external flow calculations, such as the lift and drag on an airfoil, often fall into this category. ...
Section_36_Turbulenc..
... We assume that for the large eddies Re 1 , so that no dissipation occurs at this scale. We define 0 as the scale where Re 1 . Dissipation occurs at this scale. As we discussed previously, while dissipation is ultimately due to viscosity, its value (or magnitude) derives from the large eddie ...
... We assume that for the large eddies Re 1 , so that no dissipation occurs at this scale. We define 0 as the scale where Re 1 . Dissipation occurs at this scale. As we discussed previously, while dissipation is ultimately due to viscosity, its value (or magnitude) derives from the large eddie ...
Lecture 5 Supplement: Derivation of the Speed of Sound in Air
... where we set dvdρ = 0, since it is the product of two infinitesimals, hence is much smaller than the other terms and may be neglected (the product of two very small numbers is an even smaller number. For example, 0.001× 0.001 = 10−6 , which is 1, 000 times smaller than 0.001). Let us now turn our at ...
... where we set dvdρ = 0, since it is the product of two infinitesimals, hence is much smaller than the other terms and may be neglected (the product of two very small numbers is an even smaller number. For example, 0.001× 0.001 = 10−6 , which is 1, 000 times smaller than 0.001). Let us now turn our at ...
Fluid Mechanics Sample Exam 1 Please work at least three
... 2) Consider steady flow past a blunt body, e.g., a car, within a wind tunnel. Assume that the velocity distribution at the entrance to the tunnel test section is horizontal and uniform, i.e., flat, with a magnitude Uo . Assume that the test section entrance pressure is likewise spatially uniform an ...
... 2) Consider steady flow past a blunt body, e.g., a car, within a wind tunnel. Assume that the velocity distribution at the entrance to the tunnel test section is horizontal and uniform, i.e., flat, with a magnitude Uo . Assume that the test section entrance pressure is likewise spatially uniform an ...
Example: Writing a Thermochemical Equation
... equation for a reaction (including phase labels) in which the equation is given a molar interpretation, and the enthalpy of reaction for these molar amounts is written directly after the equation. Thermochemical Equations Lets look at an example of a thermochemical equation. For the reaction of sodi ...
... equation for a reaction (including phase labels) in which the equation is given a molar interpretation, and the enthalpy of reaction for these molar amounts is written directly after the equation. Thermochemical Equations Lets look at an example of a thermochemical equation. For the reaction of sodi ...
Fluids Models
... Strain: In solids, strain is the change in length per unit length. Note: Deformation rate thus often referred to as strain rate. Shear Stress: Stress applied parallel or tangential to face of material; e.g., slide deck of cards. Viscosity: Measure of the resistance of a fluid that is being deformed ...
... Strain: In solids, strain is the change in length per unit length. Note: Deformation rate thus often referred to as strain rate. Shear Stress: Stress applied parallel or tangential to face of material; e.g., slide deck of cards. Viscosity: Measure of the resistance of a fluid that is being deformed ...
The combined forced and free convection heat transfer from
... or free convection alone. For low flow velocity and larger temperature difference between the body and the fluid, the flow and heat transfer are strongly influenced by the buoyancy force [1]. When the flow velocity is not very high and the temperature difference between the body surface and ambient ...
... or free convection alone. For low flow velocity and larger temperature difference between the body and the fluid, the flow and heat transfer are strongly influenced by the buoyancy force [1]. When the flow velocity is not very high and the temperature difference between the body surface and ambient ...
DRIVING FORCES FOR THE TRANSPORT PHENOMENA What is
... • Momentum balance for this system is written to develop a DIFFERENTIAL EQUATION. • Use BOUNDARY CONDITIONS to obtain algebraic relations from the solutions of the differential equations • Solve the algebraic relations to determine engineering characteristics of the system such as velocity distribut ...
... • Momentum balance for this system is written to develop a DIFFERENTIAL EQUATION. • Use BOUNDARY CONDITIONS to obtain algebraic relations from the solutions of the differential equations • Solve the algebraic relations to determine engineering characteristics of the system such as velocity distribut ...
Reaction Stoichiometry
... We cannot simply add the total moles of all the reactants to decide which reactant mixture makes the most product. We must always think about how much product can be formed by using what we are given, and the ratio in the balanced equation. ...
... We cannot simply add the total moles of all the reactants to decide which reactant mixture makes the most product. We must always think about how much product can be formed by using what we are given, and the ratio in the balanced equation. ...
Vertical structure of the atmosphere
... This is the vertical component of the Navier-Stokes (momentum) equation, in the absence of friction and diabatic forcing. Note that the w here is now a 3-D field in space and time, not just the velocity for a designated air parcel. This is the prognostic equation for vertical velocity in a non-hydro ...
... This is the vertical component of the Navier-Stokes (momentum) equation, in the absence of friction and diabatic forcing. Note that the w here is now a 3-D field in space and time, not just the velocity for a designated air parcel. This is the prognostic equation for vertical velocity in a non-hydro ...
10.7 Buoyancy and Archimedes Principle 10.8 Fluids in Motion
... 2. Students will relate the various flow rates to forces and motion. 3. Students will explain how Bernoulli’s equation is applied. 4. Students will relate viscosity to flow in tubes. ...
... 2. Students will relate the various flow rates to forces and motion. 3. Students will explain how Bernoulli’s equation is applied. 4. Students will relate viscosity to flow in tubes. ...
sinusoidal wave
... • Electromagnetic waves are disturbances that consist of electric and magnetic fields and travel at the speed of light. These waves do not need a medium for propagation; they can travel in a vacuum. Examples are microwaves and visible light. • Matter waves are a representation of the behavior of mat ...
... • Electromagnetic waves are disturbances that consist of electric and magnetic fields and travel at the speed of light. These waves do not need a medium for propagation; they can travel in a vacuum. Examples are microwaves and visible light. • Matter waves are a representation of the behavior of mat ...
The Momentum Equation
... for measuring discharge. A weir is a notch on a larger scale. It may be sharp crested but also may have a substantial width in the direction of flow - it is used as both a flow measuring device and a device to raise water levels. Weir Assumptions We will assume that the velocity of the fluid appro ...
... for measuring discharge. A weir is a notch on a larger scale. It may be sharp crested but also may have a substantial width in the direction of flow - it is used as both a flow measuring device and a device to raise water levels. Weir Assumptions We will assume that the velocity of the fluid appro ...
Chemical Reactions
... the reactants to the left of the arrow separated by plus signs. Write the names of the products to the right of the arrow, also separated by plus ...
... the reactants to the left of the arrow separated by plus signs. Write the names of the products to the right of the arrow, also separated by plus ...
Powerpoint Format ()
... Knight is: Chapter 23, Sections 23.1-23.7 Test 2 will cover up to and including Section 23.7, Thin Lenses and Refraction Theory, plus lab materials from this semester. A masteringphysics Problem Set is due Friday by 5:00 PM. It is the last problem set of 2007. Suggested Chapter 23 Exercises and Prob ...
... Knight is: Chapter 23, Sections 23.1-23.7 Test 2 will cover up to and including Section 23.7, Thin Lenses and Refraction Theory, plus lab materials from this semester. A masteringphysics Problem Set is due Friday by 5:00 PM. It is the last problem set of 2007. Suggested Chapter 23 Exercises and Prob ...
Conservation of Energy in chemical reactions, Hess`s Law
... high, or because the reactants are difficult to obtain or handle. Hess’s Law (named after the scientist who proposed it) helps us to calculate H for a reaction by using data from other reactions that are related to it. Hess’s Law states: If a chemical equation can be written as the ‘sum’ of several ...
... high, or because the reactants are difficult to obtain or handle. Hess’s Law (named after the scientist who proposed it) helps us to calculate H for a reaction by using data from other reactions that are related to it. Hess’s Law states: If a chemical equation can be written as the ‘sum’ of several ...
lecture 4 linear momentum principle and general equation of
... simpler form. It is worth noting that this simpler form can be obtained directly from an alternative method of derivation, which is based on the usage of material rather than control volumes. Here, to obtain simplified form of the equation of motion we perform the following calculations ...
... simpler form. It is worth noting that this simpler form can be obtained directly from an alternative method of derivation, which is based on the usage of material rather than control volumes. Here, to obtain simplified form of the equation of motion we perform the following calculations ...
Velocity Profile u(x,y) x y
... Assume that the water is incompressible. Also note that, since R is a function only of time, there is no ambiguity about its time derivative and hence dR/dt is just an ordinary time derivative. ...
... Assume that the water is incompressible. Also note that, since R is a function only of time, there is no ambiguity about its time derivative and hence dR/dt is just an ordinary time derivative. ...
Unit 6 Moles and Stoichiometry Short Answer Review
... Base your answers to questions 1 through 3 on the information below. Rust on an automobile door contains Fe 2O3(s). The balanced equation representing one of the reactions between iron in the door of the automobile and oxygen in the atmosphere is given below. 4Fe(s) + 3O 2(g) 2Fe 2O3(s) 1. Write the ...
... Base your answers to questions 1 through 3 on the information below. Rust on an automobile door contains Fe 2O3(s). The balanced equation representing one of the reactions between iron in the door of the automobile and oxygen in the atmosphere is given below. 4Fe(s) + 3O 2(g) 2Fe 2O3(s) 1. Write the ...
Cnoidal wave
In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves. They are used to describe surface gravity waves of fairly long wavelength, as compared to the water depth.The cnoidal wave solutions were derived by Korteweg and de Vries, in their 1895 paper in which they also propose their dispersive long-wave equation, now known as the Korteweg–de Vries equation. In the limit of infinite wavelength, the cnoidal wave becomes a solitary wave.The Benjamin–Bona–Mahony equation has improved short-wavelength behaviour, as compared to the Korteweg–de Vries equation, and is another uni-directional wave equation with cnoidal wave solutions. Further, since the Korteweg–de Vries equation is an approximation to the Boussinesq equations for the case of one-way wave propagation, cnoidal waves are approximate solutions to the Boussinesq equations.Cnoidal wave solutions can appear in other applications than surface gravity waves as well, for instance to describe ion acoustic waves in plasma physics.