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The 59 pages that link to Continuity equation, each with the reason it gives.

• Electric currentRelated: It expresses how current and charge accumulation must balance.

• AerodynamicsRelated: It relates changes in airflow speed, density, and passage area.

• Navier–Stokes equationsRelated: It supplies the mass-conservation condition paired with momentum conservation in fluid motion.

• HydrodynamicsRelated: It links changes in liquid speed and density to the geometry of a flow.

• ElectromagnetismRelated: For electric charge, it connects current to changing charge density and underlies charge conservation.

• Conservation lawRelated: It translates global conservation into a rule for transport through space.

• Noether's theoremRelated: Noether currents satisfy continuity equations when the field equations hold.

• Bernoulli's principleRelated: Together with Bernoulli's equation, it predicts pressure changes when a pipe narrows.

• Water balanceNarrower topic: Water balance is the continuity equation applied to water in a chosen system.

• DivergenceRelated: It uses divergence to express how density changes when material flows.

• Incompressible flowRelated: For constant density, mass conservation reduces to the zero-divergence constraint.

• Fluid dynamicsRelated: It constrains how fluid speed and density change as flow passes through different areas.

• Fick's laws of diffusionRelated: Combining conservation of particles with the first law yields the second law.

• Daniel BernoulliRelated: It explains why fluid speed rises when flow is constrained through a narrower passage.

• Hydraulic engineeringRelated: It links flow rate, channel area, and velocity in water-system calculations.

• River dischargeRelated: It gives the basic relation used to estimate discharge from channel area and water speed.

• Compressible flowRelated: Changing density alters how mass conservation relates area and velocity.

• Divergence theoremRelated: The theorem converts integral conservation over a region into a local balance law.

• Stress–energy tensorRelated: The tensor’s vanishing covariant divergence expresses local energy-momentum conservation.

• Venturi effectRelated: It explains why fluid speeds up where the passage narrows.

• Current densityRelated: For charge, it links current density to changes in charge density.

• Euler equationsRelated: It supplies mass conservation alongside momentum conservation in the fluid equations.

• Control volumeRelated: It determines how inlet and outlet flow rates relate in a control volume.

• Charge conservationRelated: Its charge form says changing charge density is balanced by electric current flowing in or out.

• Eulerian descriptionBroader topic: It expresses mass conservation using fields defined at current positions.

• Francis turbineRelated: It relates discharge to the changing flow area through the runner and draft tube.

• Mass flow rateRelated: It expresses how mass flow rate stays consistent through steady flow without sources or sinks.

• Diffusion equationRelated: It supplies the conservation principle used to derive diffusion from a flux law.

• SiphonRelated: It explains why liquid speed changes when a siphon tube narrows or widens.

• StreamlineRelated: It constrains how flow speed and stream-tube cross-section vary along streamlines.

• Volumetric flow rateRelated: For incompressible flow, it makes volumetric flow rate constant along a streamtube.

• Kirchhoff's current lawNarrower topic: Kirchhoff's current law is the lumped-circuit form of charge continuity.

• ElectrodynamicsRelated: Charge conservation constrains which charge and current distributions can source the fields.

• HydraulicsRelated: It predicts how flow speed changes when a pipe's cross-sectional area changes.

• Pipe flowRelated: It connects pipe area, fluid density, and mean velocity along a line.

• Displacement currentRelated: The added term makes Ampère’s law compatible with conservation of electric charge.

• Reynolds transport theoremBroader topic: Applying the theorem to mass yields the integral mass balance and its local form.

• Steady flowRelated: In steady flow, no mass accumulates at a fixed location, simplifying the mass balance.

• Number densityRelated: For particle number, it tracks how density changes as particles flow.

• Conserved quantityRelated: It describes conservation locally, including how a quantity moves through space.

• SourceRelated: Its source term distinguishes creation or emergence from conserved transport.

• StreamflowRelated: It explains how discharge relates to channel area and velocity.

• Flow velocityRelated: It constrains how flow velocity varies when mass is conserved.

• Solenoidal vector fieldRelated: For constant density, this conservation law reduces to zero divergence of velocity.

• Torricelli's lawRelated: It connects the falling surface level to the discharge through the opening.

• Bondi accretionRelated: It makes the mass accretion rate constant with radius in a steady spherical flow.

• Nernst–Planck equationRelated: It converts Nernst–Planck fluxes into time evolution of ion concentrations.

• CurrentRelated: It relates current speed and cross-sectional area when fluid mass is conserved.

• Hydrodynamic modelRelated: For fluid models, it expresses mass conservation and constrains the velocity field.

• Time derivativeRelated: It uses a time derivative to express local accumulation or depletion.