On Solution to the Navier-Stokes Equations with Navier Slip Boundary Condition for Three Dimensional Incompressible Fluid

Pal, Subha; Haloi, Rajib

doi:10.1007/s10473-019-0613-8

Cited by 6 publications

(4 citation statements)

References 20 publications

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“…The requirements (1.15) indicate the reasonable regularity of the incompressible Navier-Stokes equations with slip boundary conditions (1.12) and (1.13), whose global existence has been verified in two-dimensional simply connected bounded domains [29] and is valid for small initial values in a three-dimensional simply connected bounded domain [1,5,43].…”

Section: Case 1: Slip Boundary Condition On the Velocitymentioning

confidence: 97%

Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions

Ju,

2024

Nonlinearity

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We investigate the long time existence of smooth solutions to the initial boundary value problem for the non-isentropic slightly compressible Navier–Stokes equations with slip or non-slip boundary conditions on the velocity. We verify that the compressible Navier–Stokes equations with boundary conditions admit a unique smooth solution on the time interval where the smooth solution of the incompressible Navier–Stokes equations exists, when the Mach number is sufficiently small. Moreover, we obtain the uniform convergence of smooth solutions for the compressible system toward those for the corresponding incompressible system on that time interval.

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Section: Case 1: Slip Boundary Condition On the Velocitymentioning

confidence: 97%

Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions

Ju,

2024

Nonlinearity

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“…The existence of a complete orthogonal basis for H was proved in [18]. We recall their result as a lemma and use it to prove the main theorem.…”

Section: Preliminaries and Assumptionsmentioning

confidence: 98%

“…The norm of the above two inner-product will be denoted by • with clear subscripts. We define the following function space like in [18] L 2 0 (Ω) = {z ∈ L 2 (Ω) :…”

Section: Preliminaries and Assumptionsmentioning

confidence: 99%

Existence and uniqueness of solutions to the damped Navier-Stokes equations with Navier boundary conditions for three dimensional incompressible fluid

Haloi,

Pal

2020

Preprint

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“…[30] Sisko nanofluid was studied in a porous medium over a nonlinearly stretching surface with heat generation / absorption. The Navier-Stokes equation solution with Navier slip boundary condition is tested for three-dimensional incompressible fluid [31].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Viscous Dissipation and Thermal Radiation in Siskoferronanofluid Flow over a Porous Medium

Saritha

Muthusami²,

RameshKumar

2021

JERA

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This Paper contributes heat transfer phenomena in mixed convection flow of Siskoferronanofluidover a porous surface in the presence of a temperature gradient heat sink with prescribed heatflux. The effect of viscous dissipation and thermal radiation on the flow field is also taken in to consideration. The three types of ferromagnetic particles Nickel Zinc ferrite (Ni–ZnFe2O4), ManganeseZinc ferrite (Mn1/2Zn1/2Fe2O4) and Cobalt ferrite (CoFe2O4) are considered with water (H2O)and Ethylene Glycol (C2H6O2) as conventional base fluids. The RungeKuttaFehlberg method of numerical methodology is used to solve momentum and energy equations. With the help of graphs andtables, the effect of various associated physical parameters on the velocity, temperature, Skin frictioncoefficient and Nusselt number is studied. The present results indicate that the heat transfer rate ofEthylene Glycol based Siskoferronanofluid is higher than that of water based fluid and also waterbased Siskoferronanofluid reduces shear stress of the fluid flow rapidly than Ethylene glycol basedfluid. The accuracy of the results comparison table is validated with the current data.

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On Solution to the Navier-Stokes Equations with Navier Slip Boundary Condition for Three Dimensional Incompressible Fluid

Cited by 6 publications

References 20 publications

Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions

Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions

Existence and uniqueness of solutions to the damped Navier-Stokes equations with Navier boundary conditions for three dimensional incompressible fluid

The Effect of Viscous Dissipation and Thermal Radiation in Siskoferronanofluid Flow over a Porous Medium

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