Thermodynamic and kinetic investigation of the influence of external centrifugal field and the heat transfer on a confined neutral gas

Wahid, Taha Zakaraia Abdel; Elmalky, Fatma M.

doi:10.1007/s42452-020-2583-9

Cited by 10 publications

(12 citation statements)

References 38 publications

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“…The potential ionizing, in this case, is implemented on the argon atoms according to the conditions and parameters bellow: All variables in the present model satisfy the initial and boundary conditions (18), as seen in Figs. (2)- (6), which cannot be exactly examined in the previous study in Ref. [7]. In this reference, authors put restrictions on distance y values and time t that related to each other.…”

Section: Discussionmentioning

confidence: 90%

“…The manner of highly rarefied gaseous plasma near an illimitable flat rigid plate suddenly moved in its plane is of great interest in aerodynamic and many various vital applications in engineering and industry. The flow over an endless moving plane may be considered as a critical problem in gas dynamics [1][2][3][4][5][6][7][8][9][10], since Stokes (1901), Lord Rayleigh (1911), discussed the flow about an illimitable plane wall that executes linear harmonic oscillation parallel to itself. Also, Cericignani and Sernagiotto (1965) have used the kinetic theory to investigate the manner of a rarefied gas over an illimitable plane that suddenly moved in its plane.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady Collisionless Gaseous Plasma Flow in the Upper Layers of the Charged Atmosphere and The Investigation of Vlasov-Maxwell Equations System.

Wahid¹,

Morad²,

Lamoudan³

et al. 2020

Preprint

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In the upper charged layers of the atmosphere, the plasma is very rarefied. The collisions between its molecules are almost non-existent, and the driving forces behind them are the Lorentz forces resulting from the electric and magnetic fields. For this reason, we are interested in studying the behavior of non-collision plasmas because of its essential applications, such as the movement of satellites in the charged atmosphere. In this paper, the flow problem of collisionless gaseous plasma is examined. For that propose, we solve the unsteady Vlasov-Maxwell system of non-linear partial differential equations analytically. Methods of moments and traveling wave parameters are used to acquire an exact solution. Specific macroscopic properties of collisionless gaseous plasma are calculated along with electrical and magnetic fields. Further, thermodynamic estimation, such as entropy and entropy production, is presented. Those calculations allow us to measure the consistency with the laws of non-equilibrium thermodynamics. Relations between internal energy modification participations are predicted using Gibbs' equation for collisionless plasma. The modification effect of internal energies due to electro-magnetic fields is found to be small compared with the internal energy change due to the effect of entropy. That is because these fields are self-induced by plasma particles due to the sudden movement of the rigid plane plate. The results are accomplished according to the typical argon gaseous plasma model. Three-dimensional diagrams showing the measured variables are drawn to investigate and discuss their behavior. The problem has many commercial applications for the movement of objects in the charged atmosphere.

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Section: Discussionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Unsteady Collisionless Gaseous Plasma Flow in the Upper Layers of the Charged Atmosphere and The Investigation of Vlasov-Maxwell Equations System.

Wahid¹,

Morad²,

Lamoudan³

et al. 2020

Preprint

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“…Now, we can integrate equation (19) w.r.t. q after performing some necessary algebraic manipulations, taking into consideration equations (14) and (22), to get:…”

Section: The Physical and Mathematical Formulation Of The Problemmentioning

confidence: 99%

On the irreversible thermodynamic of a gas influenced by a thermal radiation force generated from a heated rigid flat plate

Wahid

2014

Advances in Mechanical Engineering

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In the present paper, the effect of the nonlinear thermal radiation (TR) on the neutral gas mixture in the unsteady state is investigated for the first time. The unsteady BGK technique of the Boltzmann kinetic equation (BKE) for a non-homogenous neutral gas (NHNG) is solved. The solution of the unsteady case makes the problem more general than the stationary case. For this purpose, the moments’ method, together with the traveling wave method, is applied. The temperature and concentration are calculated for each gas component and mixture for the first time. Furthermore, the study is held for aboard range of temperatures ratio parameter and a wide range of the molar fraction. The non-equilibrium distribution function (NEDF) is calculated for each gas component and the gas mixture. The significant non-equilibrium irreversible thermodynamic characteristics the entire system is acquired analytically. That technic allows us to investigate our model consistency with Boltzmann’s H-theorem, Le Chatelier’s principle, and thermodynamics laws. Moreover, the ratios among the further participation of the internal energy change (IEC) are evaluated via the Gibbs formula of total energy. The final results are utilized to the argon-helium NHNG at different magnitudes of radiation force (RF) strength and molar fraction parameters. 3D-graphics are presented to predict the behavior of the calculated variables, and the obtained results are theoretically discussed. The significance of this study is due to its vast applications in numerous fields, such as satellites, commercial, and various industrial applications.

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“…Enhancement of isotope separation processes quality of an NG affected by an ECF is one of the critical aims in commercial and industrial applications, especially in the peaceful use of uranium enrichment technology in the generation of electricity and radiation therapy in medicine. In the previous paper, Wahid and El-Malky 1 introduced a new pattern that investigated the effect of the ECF and the HT on a gas bounded by parallel two HRFPPs. They solved a steady ordinary differential equation system and applied the results for argon gas.…”

Section: Introductionmentioning

confidence: 99%

“…The thermodynamic properties and various types of IEC are calculated. A full historical introduction of the previous related studies and the details of the stationary model can be found in Wahid and El-Malky 1 and the references therein. HT plus ECF, affected on an NG bounded between two rotating cylinders or its related approximate pattern, such as Pomraning’s pattern, is vital for the NG isotope separation process; see Figure 1.…”

Section: Introductionmentioning

confidence: 99%

Exact analytical solution of the influence of an external centrifugal field and the heat transfer on a confined gas between two plates in the unsteady state

Wahid

2014

Advances in Mechanical Engineering

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This paper aims to study the non-stationary situation of the effectiveness of an external centrifugal force (ECF) and the heat transfer (HT) on the manner of neutral gas (NG). We solve a system of non-linear non-stationary partial differential equations, which represents an enormous task. Our model is examined to follow the manner of the macroscopic properties of the NG that bounded between two parallel horizontal rigid fixed plane plates (HRFPPs). The moment method and the traveling wave method are utilized. The draw an analogy among the perturbed distribution function (DF), and the equilibrium DF with time is studied. The thermodynamic predictions are calculated. System internal energy change (IEC) is investigated. We applied the results for laboratory helium NG. We detected that in specific conditions, we could compensate for the decreasing of particles’ number adjacent to the lower HRFPP because of the centrifugation process, with other particles adjacent to the higher heated HRFPP. We did that with the help of the reverse heat current from the heated upper HRFPP, which gave us a considerable enhancement and development of gases isotope separation processes. Furthermore, we approved that our model is compatible with the second law of thermodynamics, the rule of Le Chatelier, and the H-Theorem of Boltzmann. Those investigations were done with a non-restricted range of the temperatures ratio factor, the centrifugal Mach number, and the Knudsen numbers. The significance of this study was due to its vast applications in numerous fields, such as in physics, engineering, biomedical, and various commercial and industrial applications.

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Thermodynamic and kinetic investigation of the influence of external centrifugal field and the heat transfer on a confined neutral gas

Cited by 10 publications

References 38 publications

Unsteady Collisionless Gaseous Plasma Flow in the Upper Layers of the Charged Atmosphere and The Investigation of Vlasov-Maxwell Equations System.

Unsteady Collisionless Gaseous Plasma Flow in the Upper Layers of the Charged Atmosphere and The Investigation of Vlasov-Maxwell Equations System.

On the irreversible thermodynamic of a gas influenced by a thermal radiation force generated from a heated rigid flat plate

Exact analytical solution of the influence of an external centrifugal field and the heat transfer on a confined gas between two plates in the unsteady state

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