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(5 points) A temperature field T-5ry2 is observed in a steady flow with a velocity field...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) =...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
5. (10 pts) The temperature and velocity in a flow are distributed as T(x,y) = To...
5. (10 pts) The temperature and velocity in a flow are distributed as T(x,y) = To (x – y) v = Cli+ C2?;, where To and L are reference temperature and length, respectively, and C is a constant hav- ing units of sec. Determine the maximum (positive) time rate of change of temperature experienced by a fluid element as it moves about. Hint: Find maximum DT/Dt.
The y component of velocity in a steady, incompressible flow field in the xy plane is...
The y component of velocity in a steady, incompressible flow field in the xy plane is v = -Bxy3, where B = 0.7 m-3 · s-1, and x and y are measured in meters. (a) Find the simplest x component of velocity for this flow field. (b) Find the equation of the streamlines for this flow (use C as constant).
. An experimentalist has measured the u-velocity component of a steady, two- imensional flow field. It...
. An experimentalist has measured the u-velocity component of a steady, two- imensional flow field. It is approximated by u 3x2y x +10 It is also known that the v-velocity is zero along the line y-0. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, v, for this flow c) Determine the location of any stagnation points in the flow (stagnation means -0) d) Calculate the acceleration field (a and ay)...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It is approximated by u 3x2y x 10 It is also known that the v-velocity is zero along the line y-O. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, 11, for this flow c) Determine the location of any stagnation points in the flow (stagnation means V-0) d) Calculate the acceleration field (ax and ay)...
help 1. A 2D inviscid flow field is represented by the velocity potential function: ° =...
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1. A 2D inviscid flow field is represented by the velocity potential function: ° = Ax + Bx2 – By2. Where A = 1m/s, B = 15-7, and the coordinates are measured in meters. The flow density is p = 1.2 kg/m3. (a) (2 points) Calculate the velocity field. (b) (2 points) Verify that the flow is irrotational. (c) (2 points) Verify that the flow is incompressible. (d) (2 points) Obtain the expression of stream function. (e) (2 points)...
Consider the flow field represented by the velocity potential φ = Ax+Bx2−By2, where A = 1...
Consider the flow field represented by the velocity potential φ = Ax+Bx2−By2, where A = 1 m/s, B = 1 s−1, and the coordinates are measured in meters. Obtain expressions forthe velocity field and the stream function. Using water as the working fluid, calculate the pressure difference between the origin and the point (x,y) = (1,2). What is the volume flow rate (per unit depth) between streamlines passing through these two points?
Consider the flow field with velocity given by: V = [A(y2-x2)-Bx] i + [2Axy+By] j, where...
Consider the flow field with velocity given by: V = [A(y2-x2)-Bx] i + [2Axy+By] j, where A = 4 m-1s -1 and B = 4 m-1s -1. The coordinates are measured in meters. The density is 1,000 kg/m3, and gravity acts in the negative y-direction Calculate the acceleration of a fluid particle and the pressure gradient at point (x, y) = (1, 1).
Consider a flow field where the density (kg/m3) is given by p(1,0,,t) = 2*22*(1 - ((r*t)/238)2...
Consider a flow field where the density (kg/m3) is given by p(1,0,,t) = 2*22*(1 - ((r*t)/238)2 ) [kg/m3] where r, o , and z are the standard Cylindrical coordinates. The velocity in this field is given by V = r20 e, + sin(O)z en + zºr ez [m/s] . Calculate the following parameters, at point R (in cylindrical coordinates) = (19,1.05,9.3) at time t = 17.88. kg/(s.m3) (a). The time rate of change of density as seen by a moving...
The Velocity field of a flow is given by V=4xy^2i + 4x^2yj. a) calculate the stream...
The Velocity field of a flow is given by V=4xy^2i + 4x^2yj. a) calculate the stream function and the velocity potential b) find the equation for the stream line passing through point x=1, y=1. plot this function accurately c) find the equation for the equipotential line passing through point x=1, y=1. plot this function accurately on the same graph as part b.
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
5. (10 pts) The temperature and velocity in a flow are distributed as T(x,y) = To (x – y) v = Cli+ C2?;, where To and L are reference temperature and length, respectively, and C is a constant hav- ing units of sec. Determine the maximum (positive) time rate of change of temperature experienced by a fluid element as it moves about. Hint: Find maximum DT/Dt.
. An experimentalist has measured the u-velocity component of a steady, two- imensional flow field. It is approximated by u 3x2y x +10 It is also known that the v-velocity is zero along the line y-0. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, v, for this flow c) Determine the location of any stagnation points in the flow (stagnation means -0) d) Calculate the acceleration field (a and ay)...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It is approximated by u 3x2y x 10 It is also known that the v-velocity is zero along the line y-O. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, 11, for this flow c) Determine the location of any stagnation points in the flow (stagnation means V-0) d) Calculate the acceleration field (ax and ay)...
help
1. A 2D inviscid flow field is represented by the velocity potential function: ° = Ax + Bx2 – By2. Where A = 1m/s, B = 15-7, and the coordinates are measured in meters. The flow density is p = 1.2 kg/m3. (a) (2 points) Calculate the velocity field. (b) (2 points) Verify that the flow is irrotational. (c) (2 points) Verify that the flow is incompressible. (d) (2 points) Obtain the expression of stream function. (e) (2 points)...
Consider a flow field where the density (kg/m3) is given by p(1,0,,t) = 2*22*(1 - ((r*t)/238)2 ) [kg/m3] where r, o , and z are the standard Cylindrical coordinates. The velocity in this field is given by V = r20 e, + sin(O)z en + zºr ez [m/s] . Calculate the following parameters, at point R (in cylindrical coordinates) = (19,1.05,9.3) at time t = 17.88. kg/(s.m3) (a). The time rate of change of density as seen by a moving...
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Please help me with FLOWCHART and UML diagram for class,
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