Complex Fluid

Professor Jim Wilkes provides representative values of the volumetric flow rate versus the applied pressure gradient for horizontal flow in a pipe [1]. The pipe radius is equal to 0.01 m. We use these representative values, in conjunction with the analytical expression of the volumetric flow... Platforms: Matlab

The SCE-UA method is a general purpose global optimization program. It was originally developed by Dr. Qingyun Duan as part of his doctoral dissertation work at the Department of Hydrologyand Water Resources, University of Arizona, Tucson, AZ 85721, USA. The dissertation is entitled "A Global... Platforms: Matlab

Here are two examples of videos:The colors show the vorticity of the flow.Enter the command line:simulation_euler_flow(l,L,lambda_max)where L and l are the width and height of the box containing the fluid and lambda_max is an integer that will be used to determine the number of degrees of freedom... Platforms: Matlab

Part of a hydraulic tool box to generalize the hydraulic system simulation. The outcome of the block are a global hydraulic fluid variables based on the current system pressure and temperature. Platforms: Matlab

The code computes the velocity profile for the vertical laminar flow of a Bingham fluid down a wall. As expected the profile is flat near the surface of the liquid film. In fact, we have a zero velocity gradient only when the shear stress is large enough (superior to tau0). This behaviour is... Platforms: Matlab

The velocity and shear stress versus radial position are determined for laminar flow of a Carreau fluid in a pipe. The shooting method is used to verify the no-slip boundary condition at the piped-deOaos wall. Once the velocity at the center is determined, the governing Differential Algebraic... Platforms: Matlab

The velocity and shear stress versus radial position are obtained for the laminar flow of a power-law fluid in a pipe. Pipe radius and applied pressure gradients can be set by the user. If you choose a power-law exponent, n, equal to 1 then a Newtonian fluid is recovered. Dilatant and... Platforms: Matlab

The velocity and shear stress versus radial position are determined for laminar flow of a power law fluid in a pipe. The shooting method is used to verify the no-slip boundary condition at the piped-deOaos wall. Once the velocity at the center is determined, the governing equation is solved... Platforms: Matlab

ELLIPTIC12i evaluates the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function for the complex value of phase U. Parameter M must be in the range 0 Platforms: Matlab

Complex step differentiation (CSD) has many advantages in efferency and accuracy over finite difference approaches (central, forward and backward). This code demonstrates how the Jacobian matrix of a given function at the reference point can be calculated using the CSD approach. Platforms: Matlab

This very simple function computes the n n-th roots of a given complex number. The attained complex roots can be plotted on a polar diagram.It is more performante thenroots([1, zeros(1,n-1), -x]),since it is based on very simple geometric properties of complex roots. Platforms: Matlab

Generates complex generalized gaussian random variables with augmentedcovariance matrix Ta = [2*s 0; 0 2*s];and shape parameter c, where c = 1 corresponds to the Gaussian case.x = cggd_rand(c,s,N) generates a vector 1xN of complex samples with a circulargaussian distribution with shape parameter... Platforms: Matlab

-Graphs user-inputed functions of a complex square input array-Helps with visualization of complex numbers and complex functions-User gives limits (e.g. [-3,3] and [-3i,3i]) of the input square array and the number of points between the limits-User provides title of graph, and can link inputs to... Platforms: Matlab

NROOTS attempts to find all the roots of a real/complex polynomial. It uses a two-step algorithm: a first-approximation to a root is found via the companion matrix method (as per the built-in function ROOTS) and then this approximation is refined (polished) via a Newton-Raphson iteration scheme.... Platforms: Matlab

Let MyFunction(z) to be a complex valued function of the complex argument z.Let z0 to be the initial point from which the search procedure starts.by doing a projection on the hyperspace (a line in the real case) defined by two successive points z1 and z2= z1+delta_z. We find a third point which... Platforms: Matlab

Taxonomy is one of the coolest features of Drupal, allowing the creation of information which is organized and structured. Taxonomy can be key for your visitors to find what they are looking for.Creating a high-quality and complex taxonomy is a lot of work. Folksonomies and tagging makes for a... Platforms: PHP

A REALbasic class that implements support for complex numbers with Double precision. Standard operators are overloaded, and many other mathematical functions are implemented to work with complex numbers. Comes with a module with wrapping functions for convenience, as well as a test harness for... Platforms: Mac

The Falling in Fluid model shows a sphere falling through a fluid. It is a supplemental simulation for an article by Pirooz Mohazzabi "Falling and Rising in Water" in the The Physics Teacher 48 (7), 478-479 (2010). The sphere is acted on by gravitational, buoyant, and viscous drag forces acting... Platforms: Mac

PhysPro Fluid Properties is a physical properties estimation software that uses two powerful databases, both databases include over 400 fluids (including 55 common refrigerants). The software also include humid air properties and has the ability to estimate mixture properties using common... Platforms: Windows, Windows 8, Windows 7

Calc 3D is a collection of mathematical tools for highschool and university. The calculator can do statistics, best fits, function plotting, integration. It handles vectors, matrices, complex numbers, coordinates, regular polygons and intersections. For objects ( like point, line, plane and... Platforms: Windows