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Consider a rectangular enclosure below, which is filled with a fluid at temperature To. Sketch the...
1. Consider a 5 m long rectangular tube with a hot fluid with the properties specified in the diagram below. The inlet...
1. Consider a 5 m long rectangular tube with a hot fluid with the properties specified in the diagram below. The inlet and outlet fluid temperatures are controlled to vary from 20 to 30 °C by applying a constant heat flux at the surface of the tube. We can ignore conduction and radiation phenomena in this problem and assume that the fluid velocity profile does not change within the tube. Using the Nu correlation from table 8.1 below, find the...
(a) Consider a flow through a circular pipe. If the fluid enters the pipe with a...
(a) Consider a flow through a circular pipe. If the fluid enters the pipe with a uniform velocity (Uin) and uniform temperature (Tin ), draw the radial temperature distribution T(r) at three distinct axial locations if the pipe is subjected to uniform heat flux along its surface. Do not forget to draw the boundary layers. Identify the developing and developed regions for this flow.
3. Consider a hypothetical non-ideal gas of particles confined to exist along a line in one dimension. The particles are in thermal equilibrium but due to their complex interactions the velocity...
3. Consider a hypothetical non-ideal gas of particles confined to exist along a line in one dimension. The particles are in thermal equilibrium but due to their complex interactions the velocity distribution function is not Maxwellian, but rather has the form: where C and vo are constants. Note that v is the velocity (not the speed) and can take on negative values. Express your answers below in terms of vo- a. Solve for the constant C b. Draw a sketch...
4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of...
4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of a fluid. The measured temperature Tm is recorded via thermocouple leads. The energy balance equation is given below. T. mc = UAT-T...) dt Here, m is the mass of the fluid in the thermowell, C is the specific heat, U is the heat transfer coefficient and A is the area of the thermowell wall. Page 2 of 2 (a) Derive the transfer function between...
Fluid motion induced by surface tension variation is called the Marangoni effect. Fluid motion induced by...
Fluid motion induced by surface tension variation is called the
Marangoni effect.
Fluid motion induced by surface tension variation is called the Marangoni effect Consider a liquid layer of thickness h on a solid flat plate. The liquid is exposed to ambient air but the surface tension σ is not constant. It varies longitudinally (in the x direction) due to a temperature gradient, which induces the liquid to move along the interface I. Write the governing equations for the liquid...
Consider the steady temperature T (2,y) in a rectangular plate that occupies 0 <<< 9 and...
Consider the steady temperature T (2,y) in a rectangular plate that occupies 0 <<< 9 and 0 <y<5, which is heated at constant temperature 150 at 9 and 0 along its other three sides. (a) For separation solutions T(1,y) = F(x)G(y), you are given that admissible F(1) are the eigenfunctions Fn (1) = sinh(An I) for n=1,2,... and G(y) are the eigenfunctions Gn(y) = sin(Any) for n=1,2,... A for In = (b) The solution is the superposition T(z,y) = an...
Please make the hand writing legible. Thanks Consider the situation depicted below, in which an incompressible...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
Question 15: Consider flow of a fluid through the section of pipe shown below (a) Plot...
Question 15: Consider flow of a fluid through the section of pipe shown below (a) Plot the total energy of the flow versus distance along the pipe if there are no losses. Label this as line A. (Note the numerical value of the total energy in not important here. What is sought is a reneral sense of the relative variation of the total energy throughout the vide.)
Please solve question 7.3 and it is depends on 7.2 so I upload the two questions...
Please solve question 7.3 and it is depends on 7.2 so I upload
the two questions
7.2 Consider fully developed laminar flow of a fluicd inside a wide rectangular duct with both the upper and lower surface at uniform surface temperature, as schematically shown in the figure below. The effect of the two sides of the duct is neglected (W H), and at a location far from the entrance the velocity distribution is assumed to be uniform, 7.5 n(x) =...
Consider a situation in which a flask is half-filled with liquid water at room temperature. The...
Consider a situation in which a flask is half-filled with liquid water at room temperature. The partially filled flask is then sealed and given time to reach equilibrium. Which of the following statements are true? [Select all that apply.] After the flask reaches equilibrium, there will no longer be any movement of individual water molecules from the gas phase into the liquid phase. The rate of condensation decreases as the flask approaches equilibrium. The rate of condensation increases as the...
1. Consider a 5 m long rectangular tube with a hot fluid with the properties specified in the diagram below. The inlet and outlet fluid temperatures are controlled to vary from 20 to 30 °C by applying a constant heat flux at the surface of the tube. We can ignore conduction and radiation phenomena in this problem and assume that the fluid velocity profile does not change within the tube. Using the Nu correlation from table 8.1 below, find the...
(a) Consider a flow through a circular pipe. If the fluid enters the pipe with a uniform velocity (Uin) and uniform temperature (Tin ), draw the radial temperature distribution T(r) at three distinct axial locations if the pipe is subjected to uniform heat flux along its surface. Do not forget to draw the boundary layers. Identify the developing and developed regions for this flow.
3. Consider a hypothetical non-ideal gas of particles confined to exist along a line in one dimension. The particles are in thermal equilibrium but due to their complex interactions the velocity distribution function is not Maxwellian, but rather has the form: where C and vo are constants. Note that v is the velocity (not the speed) and can take on negative values. Express your answers below in terms of vo- a. Solve for the constant C b. Draw a sketch...
4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of a fluid. The measured temperature Tm is recorded via thermocouple leads. The energy balance equation is given below. T. mc = UAT-T...) dt Here, m is the mass of the fluid in the thermowell, C is the specific heat, U is the heat transfer coefficient and A is the area of the thermowell wall. Page 2 of 2 (a) Derive the transfer function between...
Fluid motion induced by surface tension variation is called the
Marangoni effect.
Fluid motion induced by surface tension variation is called the Marangoni effect Consider a liquid layer of thickness h on a solid flat plate. The liquid is exposed to ambient air but the surface tension σ is not constant. It varies longitudinally (in the x direction) due to a temperature gradient, which induces the liquid to move along the interface I. Write the governing equations for the liquid...
Consider the steady temperature T (2,y) in a rectangular plate that occupies 0 <<< 9 and 0 <y<5, which is heated at constant temperature 150 at 9 and 0 along its other three sides. (a) For separation solutions T(1,y) = F(x)G(y), you are given that admissible F(1) are the eigenfunctions Fn (1) = sinh(An I) for n=1,2,... and G(y) are the eigenfunctions Gn(y) = sin(Any) for n=1,2,... A for In = (b) The solution is the superposition T(z,y) = an...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
Question 15: Consider flow of a fluid through the section of pipe shown below (a) Plot the total energy of the flow versus distance along the pipe if there are no losses. Label this as line A. (Note the numerical value of the total energy in not important here. What is sought is a reneral sense of the relative variation of the total energy throughout the vide.)
Please solve question 7.3 and it is depends on 7.2 so I upload
the two questions
7.2 Consider fully developed laminar flow of a fluicd inside a wide rectangular duct with both the upper and lower surface at uniform surface temperature, as schematically shown in the figure below. The effect of the two sides of the duct is neglected (W H), and at a location far from the entrance the velocity distribution is assumed to be uniform, 7.5 n(x) =...
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