New time-marching methods for compressible Navier-Stokes equations with applications to aeroacoustics problems

Yadav, Vivek S.; Ganta, Naveen; Mahato, Bikash; Rajpoot, Manoj K.; Bhumkar, Yogesh G.

doi:10.1016/j.amc.2021.126863

Cited by 13 publications

(8 citation statements)

References 33 publications

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“…A new class of CERK method (Yadav et al. 2022) has been used to compute the velocity profile for all other values of and The flow and dispersion regimes are presented in this investigation for better understanding of solute dispersion. The axial dispersion and axial mean concentration of solute are estimated considering exchange coefficient , convective coefficient , dispersion coefficient , skewness coefficient and kurtosis coefficient and variations of all these five coefficients with time .…”

Section: Discussionmentioning

confidence: 99%

“…A new class of CERK method (Yadav et al. 2022) has been used to compute the velocity profile for all other values of and and this procedure is explained in Appendix A.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…A new class of CERK method (Yadav et al. 2022) has been used to compute the concentration distribution numerically in the non-Newtonian fluid for the present case. For spatial discretization, the second-order central difference formula has been used.…”

Section: Figure 33mentioning

confidence: 99%

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Significance of skewness and kurtosis on the solute dispersion in pulsatile Carreau–Yasuda fluid flow in a tube with wall absorption

Singh

Murthy

2023

J. Fluid Mech.

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Solute dispersion in Carreau–Yasuda fluid flow in a tube presented in Rana & Murthy (Proc. R. Soc. Lond. A, vol. 472, 2016, p. 20160294) was limited to a steady-state velocity profile due to the nonlinearity associated with the Yasuda parameter $a$ with power-law exponent $n$ . This limitation is overcome and the velocity profile is obtained for all values of the Yasuda parameter by using the Lagrange inversion theorem, which admits power series solution for the flow field. An analytical solution for the concentration distribution in the circular tube is obtained for the unsteady and pulsatile flow with $n\leq 1$ and $\alpha <<1$ and the numerical solution is presented for all values of $\alpha$ and $n$ . The solute dispersion is analysed analytically using the Sankarasubramanian–Gill generalized dispersion method and also using the Aris–Barton method of moments considering up to fourth-order moments. The solute dispersion is also simulated numerically by using a new class of computationally explicit Runge–Kutta method. The axial mean concentration of the solute is estimated by the exchange, convective and dispersion coefficients. The third- and fourth-order moments give rise to skewness and kurtosis revealing the deviation from the Gaussianity and reduction in the peak of the mean concentration profile at a small time of the solute injection. All time variations of these five moments against flow governing parameters are thoroughly investigated. The flow and dispersion regimes that are derived here for moments provide a good understanding of the solute dispersion in the tube. The increase in the Womersley frequency parameter led to a phase lag at each period. This work is the initiation of estimating the skewness and kurtosis in a non-yield stress fluid flow in a tube.

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Section: Discussionmentioning

confidence: 99%

“…A new class of CERK method (Yadav et al. 2022) has been used to compute the velocity profile for all other values of and and this procedure is explained in Appendix A.…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Significance of skewness and kurtosis on the solute dispersion in pulsatile Carreau–Yasuda fluid flow in a tube with wall absorption

Singh

Murthy

2023

J. Fluid Mech.

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“…For the present work, we have solved 2D, unsteady, compressible Navier-Stokes equations using an in-house developed solver [26,27]. The mass, momentum, and energy conservation equations are solved in the non-dimensional form and the ideal gas equation.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The in-house developed solver uses the CERK time integration scheme [27] for evaluating the unsteady terms in the governing equations. In contrast, the first-order spatial differential terms have been discretised using the sixth-order compact scheme (C6) [28].…”

Section: Governing Equationsmentioning

confidence: 99%

Analysis of non-uniform laminar flow past a circular cylinder on the flow and sound field evolution using direct numerical simulation approach

Kumar,

Arumuru

et al. 2023

Acta Mech

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This paper analyses the effects of a non-uniform laminar flow past a circular cylinder using the direct numerical simulation (DN S) approach. Compared to the cylinder immersed in a uniform flow case, modifications caused by the nonuniform approaching flow on the evolution of the flow and sound fields are studied in detail in the present work. The prescribed non-uniform velocity profile at the inlet has a Gaussian distribution and imitates a jet or a wake flow velocity profile. The sound is generated due to periodic vortex shedding behind the circular cylinder. The frequency of vortex shedding and the strength of the shed vortices depend on the inflow velocity profile. Hence variation of the inflow velocity profile alters the shed vortices, changing the generated sound field. It is observed that the amount of gain or deficit present in the prescribed inflow velocity profile compared to the uniform inflow profile alters the sound field information. The jet kind of inflow profile creates a sound of higher frequency and intensity in contrast to the wake kind of inflow profile. The presence of shear in the inflow velocity profile is also expected to change the sound propagation direction. However, in present simulations, the distance over which sound propagation is considered is small compared to the wavelength of the sound waves, and sound beam drift effects are not observed much.

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New RK type time-integration methods for stiff convection–diffusion–reaction systems

et al. 2023

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New time-marching methods for compressible Navier-Stokes equations with applications to aeroacoustics problems

Cited by 13 publications

References 33 publications

Significance of skewness and kurtosis on the solute dispersion in pulsatile Carreau–Yasuda fluid flow in a tube with wall absorption

Significance of skewness and kurtosis on the solute dispersion in pulsatile Carreau–Yasuda fluid flow in a tube with wall absorption

Analysis of non-uniform laminar flow past a circular cylinder on the flow and sound field evolution using direct numerical simulation approach

New RK type time-integration methods for stiff convection–diffusion–reaction systems

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