Skip to main content
RogeliodelasCas1-Visitor
1-Visitor
December 5, 2011
Question

Solving laplace equation

  • December 5, 2011
  • 13 replies
  • 7263 views

To all,

I cannot find a quicksheet in mathcad help with an example to solve Laplace equation.

What i need is to obtain the solution of potential equation (laplace equation) in two and three dimensions.

The source of the potential could be a cylinder (electrode underground), where the radius is << than the length of it, it could be a geometry figure as a brick (an electrode that is used to protect underwater side of ships), but where the high of the brick is << than its length and width.

Thank you in advance,

Rogelio

13 replies

Fred_Kohlhepp23-Emerald I
23-Emerald I
December 5, 2011

Attached is a quicksheet for the heat equation. Might give you a place to start.

RogeliodelasCas1-VisitorAuthor
1-Visitor
December 5, 2011

Thank you Fred,

Please, read my replay to Vladimir, the same will apply for the example that you sent me.

Regards,

Rogelio

VladimirN24-Ruby IV
24-Ruby IV
December 5, 2011

Below is attached an example "Heat Flow on a Square Plate" for Mathcad 15.

RogeliodelasCas1-VisitorAuthor
1-Visitor
December 5, 2011

Thank you Vladimir,

The problem with this example is that the source is dimensionless. How can I modify this example for the case that my source will have dimensions? What happen is that I have to obtain the potential in a plate that is under water that has several sources of current (anodes) attached to it, spread on the plate surface. So I need the potential profile not just far from the source (where dimensionless sources are ok for the modeling), but also close to the source, where the dimension of the source effects the potential profile.

Thank you in advance,

Rogelio

Fred_Kohlhepp23-Emerald I
23-Emerald I
December 5, 2011

Rogelio de las Casas wrote:

Thank you Vladimir,

The problem with this example is that the source is dimensionless. How can I modify this example for the case that my source will have dimensions? What happen is that I have to obtain the potential in a plate that is under water that has several sources of current (anodes) attached to it, spread on the plate surface. So I need the potential profile not just far from the source (where dimensionless sources are ok for the modeling), but also close to the source, where the dimension of the source effects the potential profile.

Thank you in advance,

Rogelio

When I must force a problem with dimensions iinto a piece of Mathcad that does not accept dimensions (like ODE solvers) I rely on the "UnitsOf()" function.

Mathcad has a consistent set of internal units. If you divide your units by UnitsOf(your units) Mathcad will put the appropriately scaled number into the problem. You can use the same function to restore units to the results.

As to how you deal with the size and shape of your source: good luck!

Terms & ConditionsAccessibility statement