“…It is seen, that the hydrogen field is similar to the well-known pictures obtained with symmetry boundary condition problem [14]. It means that the shock boundary layer interaction (SBLI) on the upper wall are not influencing on enhanced hydrogen/air mixing [28,29]. As pointed in the introduction, one of the ways substantially increasing the mixing efficiency consists in the government the channel height.…”
Section: Resultssupporting
confidence: 66%
“…It is seen, that the hydrogen field is similar to the well‐known pictures obtained with symmetry boundary condition problem [14]. It means that the shock boundary layer interaction (SBLI) on the upper wall are not influencing on enhanced hydrogen/air mixing [28, 29].…”
The improvement of the mixing of the injected jet fuel in the cross‐flow oxidant (jet in cross‐flow (JICF)) in the scramjet combustor is still remains opened problem. JICF is accompanied with the formation of shock structures and leads to the shock wave boundary layer interactions (SWBLI) at the walls of the combustion chamber. The purpose of this paper is to study the influence of the interaction of the bow shock wave with the upper boundary layer and shock wave (reflected from the upper wall) with lower surface flow behind the jet on the mixture layer mechanism. For that, the numerical simulation of a supersonic flow with a transverse multispecies jet injection from the bottom wall of the plane channel with variations of the channel heights and the jet pressure ratio is done. The multispecies supersonic gas flow in a planar channel with perpendicular jet injection is numerically simulated. The Favre‐averaged Navier‐Stokes equations coupled with the k‐ω turbulence model are solved using the fourth order weighted essentially non‐oscillatory (WENO)‐scheme. The simulation correctly captured the main flow features near the jet and the comparison with the experimental data shows a satisfactory agreement. The reflected shock wave, formed as a result of the interaction of a bow shock wave with the boundary layer (SWBLI), reaches the lower boundary layer behind the jet and interacts with them. The numerical experiments reveal show that this shock/wave interaction causes an oscillation of the flow. The channel height variations show that with a decrease of the height the mixing rate increased.
“…It is seen, that the hydrogen field is similar to the well-known pictures obtained with symmetry boundary condition problem [14]. It means that the shock boundary layer interaction (SBLI) on the upper wall are not influencing on enhanced hydrogen/air mixing [28,29]. As pointed in the introduction, one of the ways substantially increasing the mixing efficiency consists in the government the channel height.…”
Section: Resultssupporting
confidence: 66%
“…It is seen, that the hydrogen field is similar to the well‐known pictures obtained with symmetry boundary condition problem [14]. It means that the shock boundary layer interaction (SBLI) on the upper wall are not influencing on enhanced hydrogen/air mixing [28, 29].…”
The improvement of the mixing of the injected jet fuel in the cross‐flow oxidant (jet in cross‐flow (JICF)) in the scramjet combustor is still remains opened problem. JICF is accompanied with the formation of shock structures and leads to the shock wave boundary layer interactions (SWBLI) at the walls of the combustion chamber. The purpose of this paper is to study the influence of the interaction of the bow shock wave with the upper boundary layer and shock wave (reflected from the upper wall) with lower surface flow behind the jet on the mixture layer mechanism. For that, the numerical simulation of a supersonic flow with a transverse multispecies jet injection from the bottom wall of the plane channel with variations of the channel heights and the jet pressure ratio is done. The multispecies supersonic gas flow in a planar channel with perpendicular jet injection is numerically simulated. The Favre‐averaged Navier‐Stokes equations coupled with the k‐ω turbulence model are solved using the fourth order weighted essentially non‐oscillatory (WENO)‐scheme. The simulation correctly captured the main flow features near the jet and the comparison with the experimental data shows a satisfactory agreement. The reflected shock wave, formed as a result of the interaction of a bow shock wave with the boundary layer (SWBLI), reaches the lower boundary layer behind the jet and interacts with them. The numerical experiments reveal show that this shock/wave interaction causes an oscillation of the flow. The channel height variations show that with a decrease of the height the mixing rate increased.
“…The suggested work 30 was considered the methodology of linear second‐order boundary value problems with variable coefficients. Build an algorithm for the approximate solution of nonlinear boundary value problems and carry out a numerical experiment using the proposed method 31,32 …”
Section: Resultsmentioning
confidence: 99%
“…Build an algorithm for the approximate solution of nonlinear boundary value problems and carry out a numerical experiment using the proposed method. 31,32…”
Nowadays there are many approximate methods for thermal conductivity calculation, that lead to satisfactory outcomes in engineering practice. With the new approach, the solution of the nonlinear thermal conductivity equation was investigated. In addition to this, we reviewed the approximate solution of the nonlinear equation of thermal conductivity with cubic nonlinearity. To solve the problems of mathematical analysis, differential and integral equations, and boundary value problems of mathematical physics, difference, and interpolation are applied. Thus, for thinking of the effectiveness and reasonableness of these approaches, it is crucial for their theoretical investigation. The solution to these questions was found for each class of equation and each of its methods in their way and was often represented as significant difficulty, and in many cases was an obstacle for the current time. A natural approach to solving this issue is the use of the ideas of functional analysis. The variational principle initially was considered as a variational approach for solving linear functional equations and finding eigenvalues of linear operators. As in any variational approach, the problem of solving an equation will be brought to finding the extremum of the certain function of a special type, given over the entire space. It was found that the approach is useful in a way of minimizing functions of the more general type.
“…A variety of solutions to the pattern of the half-timbered facades of this architectural complex consists in the use of quatrefoil ornaments with rounded petals, quatrefoil ornaments with truncated and pointed foils at the ends of the upper and lower petals of the clubs (the so-called "Moroccan quatrefoil"), Christmas tree motifs, where the lines of branches are oriented downward, as well as parallel straight lines, which also form a certain rhythm and give the image of the ensemble a specific dynamics [112][113][114][115][116][117][118]. The decoration of this manor complex is a group of plastically modelled chimneys laid out with redbrick, shaped like a bolt with two nuts at the ends, which form a decorative thickening of the kind of base and capitals in the column.…”
Section: Features Of Bramall Hall Vernacular Houses Little Moreton Hallmentioning
Now half-timbered English houses, upholstered on facades with slanting boards that exhibit architectonics of the framework, and laconically painted in black (brown)-white, are gradually becoming a sign of good taste in the construction of other European countries. However, there are almost no scholars who studied the half-timbered buildings of Britain in Ukraine; however, progressively the fashion for such buildings extends to our country. The article is devoted to the monuments of half-timbered architecture of the late Gothic period (1500-1560sduring the Tudor era (1485-1603) and the Renaissance, the epoch of the Elizabethan style (1558-1603)the time of the highest prosperity of England. In the specified century, the foundations of folk architecture of Britain were laid, based on the legacy of German Gothic building techniques. Now the traditional half-timbered houses of England, Scotland, Ireland and Wales are not only preserved and protected by law in the UK but also undergo a time of quality renovation and a new fashion boom. In this regard, it is relevant to study their unique artistic-figurative and technological features, as well as the specifics of arranging interiors in such buildings, gradually starting to capture not only the inhabitants of Northern Europe, but also its East.
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