solenoidal वाक्य
उदाहरण वाक्य
मोबाइल
- For example, every solenoidal vector field can be written as
- Thus solenoidal vector fields are precisely those that have volume-preserving flows.
- The solenoidal vector fields are those with div " X " = 0.
- Here, the projections are accomplished by the orthogonality of the solenoidal and irrotational function spaces.
- In a moving vortex, the particle paths are not closed, but are open, loopy curves like solenoidal.
- There really is a dilemma about having singularities in solenoidal lines of force within the current state of knowledge in physics.
- It follows from the definition of the Lie derivative that the volume form is preserved under the flow of a solenoidal vector field.
- Running a current through this wire creates a solenoidal magnetic field which tends to contain the electrons liberated from the beam pipe walls.
- It states that the magnetic field has divergence equal to zero, in other words, that it is a solenoidal vector field.
- In aerodynamics the induced air currents are forming solenoidal rings around a vortex axis that is playing the role that electric current plays in magnetism.
- Where and are solenoidal and irrotational projection operators satisfying 1 } } and and are the non-conservative and conservative parts of the body force.
- The Fundamental Theorem of Vector Calculus states that any vector field can be expressed as the sum of a conservative vector field and a solenoidal field.
- Equivalent technical statements are that the sum total magnetic flux through any Gaussian surface is zero, or that the magnetic field is a solenoidal vector field.
- Due to this last property, the solutions for the Navier Stokes equations are searched in the set of solenoidal ( " divergence-free " ) functions.
- Since \ psi \ boldsymbol { \ nabla } \ chi is in general not solenoidal, the Clebsch representation does not in general satisfy the Helmholtz decomposition.
- In other words, the stream function accounts for the solenoidal part of a two-dimensional Helmholtz decomposition, while the velocity potential accounts for the irrotational part.
- Where the transverse current "'J " "'t " is the solenoidal current ( see Helmholtz decomposition ) generated by a second particle.
- A generalization of this theorem is the Helmholtz decomposition which states that any vector field can be decomposed as a sum of a solenoidal vector field and an irrotational vector field.
- The particle motion occurs along the figure-8 trajectory in yz plane set perpendicular to the solenoid axis with arbitrary azimuth angle \ varphi due to axial symmetry of the solenoidal magnetic field.
- In electromagnetism the "'B "'lines form solenoidal rings around the source electric current, whereas in aerodynamics, the air currents form solenoidal rings around the source vortex axis.
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