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5. Write down Y momentum equation of Navier-Stokes (5). Discuss meaning of each term (10) Simplify...
Problem 4-Which of the following statements about Cauchy momentum equation and Navier Stokes equation are true?...
Problem 4-Which of the following statements about Cauchy momentum equation and Navier Stokes equation are true? Circle the correct answer(s). a) Cauchy momentum equation can be applied to any fluid; b) Cauchy momentum equation is only applicable to incompressible fluid; c) Cauchy momentum equation is only applicable to Newtonian fluid; d) Navier-Stokes equation can be applied to any fluid; e)Navier-Stokes equation is only applicable to incompressible fluid; Navier-Stokes equation is only applicable to Newtonian fluid.
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet...
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet pressure are 110 and 300 kPa respectively. The mass flow rate is 3 kg/sec. The inlet pipe is 1 inch diameter and outlet pipe is 0.5 inch. Neglect elevation difference and internal energy changes across inlet and outlet. a) Culculate velocity İf water at inlet and outlet(5) b) Choose a suitable control volume, and write down and expression for conservation of energy applicable to...
vector calculus (2) The Navier-Stokes equation is the fundamental equation of fluid dynamics that models the...
vector calculus
(2) The Navier-Stokes equation is the fundamental equation of fluid dynamics that models the motion of water in everything from bathtubs to oceans. In one of its many forms (incompressible, viscous flow), the equation is Ae +(V.V)V)-Vp+ p(V.V at In this notation V = (u, v, w) is the three-dimensional velocity field, p is the (scalar) pressure, p is the constant density of the fluid, and is the constant viscosity. Write out the three component equations of this...
Question (1) A- Write full Navier Stokes equation and energy equation in cylindrical coordinates....
Question (1) A- Write full Navier Stokes equation and energy equation in cylindrical coordinates. From this derive equation for asymmetrical coordinates. Explain reasons for each assumption that you make while deriving the equation. B- Develop a relation for velocity and temperature distribution in a circular pipe which is experiencing a constant pressure gradient and a constant wall temperature. Explain each boundary condition
Tutorial 2. Incompressible Navier-Stokes equations 18 September, 4-5 pm in FN2 In Lecture Notes 1 the Navier-Stokes equ...
Tutorial 2. Incompressible Navier-Stokes equations 18 September, 4-5 pm in FN2 In Lecture Notes 1 the Navier-Stokes equations (momentum balance) for incompressible flow were derived. They were eventually written in the following form dr In this equation, the viscosity μ and the density ρ are constants. We now consider two simple flow configurations. Config. 1. The steady state flow of a liquid in the space between two very large static parallel plates at distance H of each other in the...
Navier Stokes equation of motion can be shown below in index notation. Writing out the equation of motion in words equals the following Write out the equation of continuity in words? Equations of Mo...
Navier Stokes equation of motion can be shown below in index
notation.
Writing out the equation of motion in words equals the
following
Write out the equation of continuity in words?
Equations of Motion: ρ Dr, mass x acceleration- body force + pressure gradient force + viscous force Equations of Continuity: =0
Equations of Motion: ρ Dr,
mass x acceleration- body force + pressure gradient force + viscous force
Equations of Continuity: =0
Please answer the most questions you can. 1 Which terms in the Navier-Stokes equations are neglected...
Please answer the most questions you can.
1 Which terms in the Navier-Stokes equations are neglected in the Euler's equation? Discuss briefly the applicability of the Euler's equation. 2 Is Bernoulli equation valid in the boundary layers? Why? 3 In the Buckingham Pi theorem procedure, If we choose 3 repeating parameters (8%) (6%) and in total there are 6 dimensional parameters, then, how many nondimensional (696) parameters will show in the final functional relation f(?) 4 In chapter 7, when...
nswer the folomt the following form of the y-direction Navier-Stokers Equation 1. The left hand side...
nswer the folomt the following form of the y-direction Navier-Stokers Equation 1. The left hand side of the equation is call (WHAT TYPE OF TERMS) 3. λ-一副is called rght hand side of the equation is called (WHAT TYPE OF TERMS) 4. 5. Write the volume dilatation rate in differential form Simplify the above equation for an incompressible fluid with constant properties (The volume dilatation rate will be very useful. Also only the Right Hand Side of the equation needs to...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
Write the simplified conservation of momentum equation for boundary layer on a flat plate and explain...
Write the simplified conservation of momentum equation for boundary layer on a flat plate and explain the physical meaning of each term in the equation.
Problem 4-Which of the following statements about Cauchy momentum equation and Navier Stokes equation are true? Circle the correct answer(s). a) Cauchy momentum equation can be applied to any fluid; b) Cauchy momentum equation is only applicable to incompressible fluid; c) Cauchy momentum equation is only applicable to Newtonian fluid; d) Navier-Stokes equation can be applied to any fluid; e)Navier-Stokes equation is only applicable to incompressible fluid; Navier-Stokes equation is only applicable to Newtonian fluid.
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet pressure are 110 and 300 kPa respectively. The mass flow rate is 3 kg/sec. The inlet pipe is 1 inch diameter and outlet pipe is 0.5 inch. Neglect elevation difference and internal energy changes across inlet and outlet. a) Culculate velocity İf water at inlet and outlet(5) b) Choose a suitable control volume, and write down and expression for conservation of energy applicable to...
vector calculus
(2) The Navier-Stokes equation is the fundamental equation of fluid dynamics that models the motion of water in everything from bathtubs to oceans. In one of its many forms (incompressible, viscous flow), the equation is Ae +(V.V)V)-Vp+ p(V.V at In this notation V = (u, v, w) is the three-dimensional velocity field, p is the (scalar) pressure, p is the constant density of the fluid, and is the constant viscosity. Write out the three component equations of this...
Tutorial 2. Incompressible Navier-Stokes equations 18 September, 4-5 pm in FN2 In Lecture Notes 1 the Navier-Stokes equations (momentum balance) for incompressible flow were derived. They were eventually written in the following form dr In this equation, the viscosity μ and the density ρ are constants. We now consider two simple flow configurations. Config. 1. The steady state flow of a liquid in the space between two very large static parallel plates at distance H of each other in the...
Navier Stokes equation of motion can be shown below in index
notation.
Writing out the equation of motion in words equals the
following
Write out the equation of continuity in words?
Equations of Motion: ρ Dr, mass x acceleration- body force + pressure gradient force + viscous force Equations of Continuity: =0
Equations of Motion: ρ Dr,
mass x acceleration- body force + pressure gradient force + viscous force
Equations of Continuity: =0
Please answer the most questions you can.
1 Which terms in the Navier-Stokes equations are neglected in the Euler's equation? Discuss briefly the applicability of the Euler's equation. 2 Is Bernoulli equation valid in the boundary layers? Why? 3 In the Buckingham Pi theorem procedure, If we choose 3 repeating parameters (8%) (6%) and in total there are 6 dimensional parameters, then, how many nondimensional (696) parameters will show in the final functional relation f(?) 4 In chapter 7, when...
nswer the folomt the following form of the y-direction Navier-Stokers Equation 1. The left hand side of the equation is call (WHAT TYPE OF TERMS) 3. λ-一副is called rght hand side of the equation is called (WHAT TYPE OF TERMS) 4. 5. Write the volume dilatation rate in differential form Simplify the above equation for an incompressible fluid with constant properties (The volume dilatation rate will be very useful. Also only the Right Hand Side of the equation needs to...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
Write the simplified conservation of momentum equation for boundary layer on a flat plate and explain the physical meaning of each term in the equation.
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