explain finite volume method: 'Conservation law∂∂t ˆΩU dΩ + ˛SF~·dS~ =ˆΩQApplying Conservation law to individual volumes∂∂t ˆΩ1U dΩ + ˛ABCAF~·dS~ =ˆΩ1Q∂∂t ˆΩ2U dΩ + ˛DEBDF~·dS~ =ˆΩ2Q∂∂t ˆΩ3U dΩ + ˛AEDAF~·dS~ =ˆΩ3Q4(a) Cell Centered Control volume (b) Vertex Centered Control VolumeFigure 3: Types of control volumesControl volume denitionThere are two types of Finite volume method based on control volume denition.a) Cell-centered Finite volume , where the unknowns are stored/located at the centers of the mesh cellsand the grid lines dene the nite volumes and surfaces.b) Cell- Vertex Finite volume - also known as the vertex centered nite volume, here the unknownvariables are stored at the vertex/nodes of the mesh. A control volume is dened around this node.There are dierent varieties of control volume denitions possible for this type of scheme'

The Finite Volume Method (FVM) is a numerical technique in which the integral formulation of theconservation laws is discretized directly in the physical space.It is the most widely used method today in CFD. The advantages of nite volume method are its easeof implementation on arbitrary grids and complex geometry.The FVM has the great advantage that the conservative discretization is automatically satised.Its implementation is directly related to the physics of the problem.The FVM consists of the following steps:ˆ Subdivide the computational domain into non-overlapping control volumes also known as nite volumes.ˆ Apply the integral conservation law to each of these nite volumes Conservation law∂∂t ˆΩU dΩ + ˛SF~·dS~ =ˆΩQApplying Conservation law to individual volumes∂∂t ˆΩ1U dΩ + ˛ABCAF~·dS~ =ˆΩ1Q∂∂t ˆΩ2U dΩ + ˛DEBDF~·dS~ =ˆΩ2Q∂∂t ˆΩ3U dΩ + ˛AEDAF~·dS~ =ˆΩ3Q4(a) Cell Centered Control volume (b) Vertex Centered Control VolumeFigure 3: Types of control volumesControl volume denitionThere are two types of Finite volume method based on control volume denition.a) Cell-centered Finite volume , where the unknowns are stored/located at the centers of the mesh cellsand the grid lines dene the nite volumes and surfaces.b) Cell- Vertex Finite volume - also known as the vertex centered nite volume, here the unknownvariables are stored at the vertex/nodes of the mesh. A control volume is dened around this node.There are dierent varieties of control volume denitions possible for this type of schem

If properties are allowed to change within the control volume, the processes are called ______ flow.

How is integration used in finding the volume of a solid of revolution

Which of the following mechanisms does NOT cause the entropy of a control volume to increase?Question 7Select one:a.Heat transferb.irreversibilitiesc.entropy transport with massd.Work done on the system

The ability of a solution to change the volume of a cell by osmosis is measured by which of the following?Multiple choice question.Its tonicityIts concentrationIts osmolarity