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- Material_derivative abstract "In continuum mechanics, the material derivative describes the time rate of change of some physical quantity (like heat or momentum) for a material element subjected to a space-and-time-dependent macroscopic velocity field. The material derivative can serve as a link between Eulerian and Lagrangian descriptions of continuum deformation.For example, in fluid dynamics, take the case that the velocity field under consideration is the flow velocity itself, and the quantity of interest is the temperature of the fluid. Then the material derivative describes the temperature evolution of a certain fluid parcel in time, as it is being moved along its pathline (trajectory) while following the fluid flow.".
- Material_derivative wikiPageID "668449".
- Material_derivative wikiPageLength "12143".
- Material_derivative wikiPageOutDegree "43".
- Material_derivative wikiPageRevisionID "703920933".
- Material_derivative wikiPageWikiLink Academic_Press.
- Material_derivative wikiPageWikiLink Advection.
- Material_derivative wikiPageWikiLink Cartesian_coordinate_system.
- Material_derivative wikiPageWikiLink Category:Fluid_dynamics.
- Material_derivative wikiPageWikiLink Category:Multivariable_calculus.
- Material_derivative wikiPageWikiLink Chain_rule.
- Material_derivative wikiPageWikiLink Continuum_mechanics.
- Material_derivative wikiPageWikiLink Covariant_derivative.
- Material_derivative wikiPageWikiLink Derivative.
- Material_derivative wikiPageWikiLink Directional_derivative.
- Material_derivative wikiPageWikiLink Euler_equations_(fluid_dynamics).
- Material_derivative wikiPageWikiLink Flow_velocity.
- Material_derivative wikiPageWikiLink Fluid_dynamics.
- Material_derivative wikiPageWikiLink Fluid_parcel.
- Material_derivative wikiPageWikiLink Generalizations_of_the_derivative.
- Material_derivative wikiPageWikiLink Gradient.
- Material_derivative wikiPageWikiLink Heat.
- Material_derivative wikiPageWikiLink Levi-Civita_connection.
- Material_derivative wikiPageWikiLink Lie_derivative.
- Material_derivative wikiPageWikiLink Material_derivative.
- Material_derivative wikiPageWikiLink Metric_tensor.
- Material_derivative wikiPageWikiLink Momentum.
- Material_derivative wikiPageWikiLink Navier–Stokes_equations.
- Material_derivative wikiPageWikiLink Orthogonal_coordinates.
- Material_derivative wikiPageWikiLink Partial_derivative.
- Material_derivative wikiPageWikiLink Scalar_field.
- Material_derivative wikiPageWikiLink Spatial_acceleration.
- Material_derivative wikiPageWikiLink Streamlines,_streaklines,_and_pathlines.
- Material_derivative wikiPageWikiLink Temperature.
- Material_derivative wikiPageWikiLink Tensor.
- Material_derivative wikiPageWikiLink Tensor_derivative_(continuum_mechanics).
- Material_derivative wikiPageWikiLink Tensor_field.
- Material_derivative wikiPageWikiLink Upper-convected_time_derivative.
- Material_derivative wikiPageWikiLink Vector_field.
- Material_derivative wikiPageWikiLinkText "Material derivative".
- Material_derivative wikiPageWikiLinkText "Material_derivative".
- Material_derivative wikiPageWikiLinkText "advective".
- Material_derivative wikiPageWikiLinkText "convective time derivative".
- Material_derivative wikiPageWikiLinkText "material acceleration".
- Material_derivative wikiPageWikiLinkText "material derivative".
- Material_derivative wikiPageUsesTemplate Template:Cite_book.
- Material_derivative wikiPageUsesTemplate Template:Reflist.
- Material_derivative wikiPageUsesTemplate Template:TOC_right.
- Material_derivative subject Category:Fluid_dynamics.
- Material_derivative subject Category:Multivariable_calculus.
- Material_derivative type Dynamic.
- Material_derivative type Mechanic.
- Material_derivative comment "In continuum mechanics, the material derivative describes the time rate of change of some physical quantity (like heat or momentum) for a material element subjected to a space-and-time-dependent macroscopic velocity field.".
- Material_derivative label "Material derivative".
- Material_derivative sameAs Q1801562.
- Material_derivative sameAs Materiálová_derivace.
- Material_derivative sameAs Materielt_afledte.
- Material_derivative sameAs Substantielle_Ableitung.
- Material_derivative sameAs נגזרת_חומרית.
- Material_derivative sameAs Derivata_materiale.
- Material_derivative sameAs 物質微分.
- Material_derivative sameAs Operator_Stokesa.
- Material_derivative sameAs Derivada_material.
- Material_derivative sameAs m.031b0_.
- Material_derivative sameAs Производная_Лагранжа.
- Material_derivative sameAs Q1801562.
- Material_derivative wasDerivedFrom Material_derivative?oldid=703920933.
- Material_derivative isPrimaryTopicOf Material_derivative.