Gerry creates the computational domain sketched in Fig. P1 5-46C to simulate flow through a sudden contraction in a two-dimensional duct. He is interested tithe time-averaged pressure drop and the minor loss coefficient created by the sudden contraction. Gerry generates a grid and calculates the flow with a CFD code, assuming stead, turbulent. incompressible flow (with a turbulence model).
(a) Discuss one way that Gerry could improve his computational domain and grid so that be would get the some results in approximate) half the computer time.
(b) There may be a fundamental flaw in how Germ’ has set up his computational domain. What is ir? Discuss what should be different about Gerry’s setup. FIGURE P15-46C
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Fluid Mechanics: Fundamentals and Applications
- An incompressible CFD code is used to simulate the flow of gasoline through a two-dimensional rectangular channel in which there is a large circular settling chamber. Flow enters from the left and exits to the right as shown. A time-averaged turbulent flow solution is generated using a turbulence model. Top–bottom symmetry is assumed. Inlet velocity V is known, and outlet pressure Pout is also known. Generate the blocking for a structured grid using four-sided blocks, and sketch a coarse grid using four-sided cells, being sure to cluster cells near walls. Also be careful to avoid highly skewed cells. Label the boundary conditions that should be applied to every edge of every block of your computational domain.arrow_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forwardfluid mechanicarrow_forward
- fluid mechanicarrow_forwardDon't copy and pastearrow_forwardFor the two-dimensional computational domain of Fig, with the given node distribution, sketch a simple structured grid using four-sided cells and sketch a simple unstructured polyhedral grid using at least one of each: 3-sided, 4-sided, and 5-sided cells. Try to avoid large skewness. Compare the cell count for each case and discuss your results.arrow_forward
- The spin rate of a tennis ball determines the aerodynamic forces acting on it. In turn, the spin rate is a§ectedby the aerodynamic torque. If the torque depends on áight speed V , density , viscosity , ball diameter D,angular velocity !, and the fuzz height, hf , Önd the important dimensionless variables for this case. Use V ,, and D as your scaling (repeating) variables.arrow_forwardOil (kinematic viscosity, v = 1.0 x 10-5 m³/s) flows through a pipe of 0.5 m diameter with a velocity of 10 m/s. Water (kinematic viscosity, V = 0.89 x 10-6 m²/s) is flowing through a model pipe of diameter 20 mm. For satisfying the dynamic similarity, the velocity of water (in m/s) is %3D Warrow_forwardHere we have a very simple one dimensional model of a stroke rehabili- tation patient supported by a robot. Often, when you have a controlled electromechanical system like a robot and a human working together, you want to separate them by a compliant mechanism (spring with stiffness k) so that the robot has some "give". Otherwise, if there are errors in the control of the robot it can be very uncomfortable for a patient. The spring has zero force when x, = xp = 0. The patient provides viscous damping with damping Xp coefficient c. Fp + C Patient mp k Xp Robot Arm Xr Figure 2: Schematic diagram of a very simplified model of a patient pushing against a robot. The robot supports the patient via a spring for safety. In this case we want to eventually determine the force that the patient is exerting on the robot as a function of time, so we'll do some steps towards that goal. Your tasks: A Draw the free body diagram for the patient mass (mass mp). B Write the equations of motion for the…arrow_forward
- can you please do all of them. thank youarrow_forwardThe center of mass for a human body can be determined by a segmental method. Using cadavers, it is possible to determine the mass of individual body segments (as a proportion of total body mass) and the center of mass for each segment (often expressed as a distance from one end of the segment). Finding the overall body center of mass can be a complex calculation, involving more than 10 body segments. Below, we will look at a simplified model that uses just six segments: head, trunk, two arms, and two legs. Search y X As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in cm: head = (0, 165), arms = (0, 115), trunk = (0, 95), and legs = (0, 35). Assume the body mass for the individual is 88 kg and their total height is 180 cm. Determine they and y coord 99+ H of massarrow_forwardShip whose full length is 100 m is to travel at 10 m/sec. For dynamical similarity, with what velocity should a 1:25 model of the ship be towed?arrow_forward
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