Abstract:Noise produced during normal impingement of a compressible vortex ring on a flat surface is studied in the shock-Mach number (M) range of 1.31 to 1.55. The compressible vortex ring is generated at the open end of a short driver section shock tube. The far-field noise is decomposed into three major components; (i) sound field due to formation and evolution of the vortex ring, (ii) reflected shock and vortex ring interaction noise and (iii) noise due to impingement of the ring on the wall. The impingement noise … Show more
“…The embedded shock-free vortex ring (for PR = 3) diameter is found to increase initially during the formation time and then attain constant value at approximately t* = 1.24 (t = 600 μs), similar to an incompressible vortex rings free of stopping vortex (Das et al 2017). After reaching a constant diameter in PR = 8 case, a marginal increase in ring diameter is observed at t* = 4.40 (t = 1198 μs) due to the induced effect of CRVR as it moves ahead of the primary core (Murugan & Das 2010). The Primary ring diameter reduces marginally when the CRVR moves behind the core-centre of the primary ring due to the same induced effect, which also accelerates the flow (Murugan & Das 2010).…”
Section: Characteristics Of Vortex Ringmentioning
confidence: 91%
“…After reaching a constant diameter in PR = 8 case, a marginal increase in ring diameter is observed at t* = 4.40 (t = 1198 μs) due to the induced effect of CRVR as it moves ahead of the primary core (Murugan & Das 2010). The Primary ring diameter reduces marginally when the CRVR moves behind the core-centre of the primary ring due to the same induced effect, which also accelerates the flow (Murugan & Das 2010). The leapfrogging (Maxworthy 1972, Riley Stevens 1993 action of the shear layer vortices has the opposite effect and is evident from the vorticity field and numerical shadowgraphs of PR = 50 (see figure 8f).…”
Section: Characteristics Of Vortex Ringmentioning
confidence: 96%
“…Brouillette & Hebert (1997) first observed the appearance of a tiny vortex ring of opposite circulation to that of the primary vortex ring ahead of it and termed it as CRVR. The primary vortex ring's propagation and dynamics are severely affected by the CRVRs in a highly under-expanded flow regime (Murugan & Das 2010).…”
Compressible vortex rings, usually formed at the open end of a shock tube, often show interesting phenomena during their formation, evolution, and propagation depending on the shock Mach number (Ms) and exit flow conditions. The Mach number of the translating compressible vortex rings (Mv) investigated so far in the literature is subsonic as, the shock tube pressure ratio (PR) considered is relatively low. In this numerical study we focus on low to high vortex ring Mach numbers (0.31 < Mv < 1.08) cases with a particular focus on very high Mv cases that are not been reported in experiments as, it is difficult to obtain in laboratory. Using hydrogen as a driver section gas inside the shock tube, a supersonic compressible vortex ring (Mv > 1) is obtained for first time.It is established that the SST k-ω based DES turbulent model replicates the experimental observation better than the previously published results at different stages of development of the vortex ring. DES, which is an inbuilt hybrid of LES and RANS approaches is evoked that can automatically switch to the sub-grid scale (SGS) model in the LES regions (i.e. with different scale vortical structures) and to a RANS model in the rest of the region (i.e. where the grid spacing is greater than the turbulent length scale). The DES model can predict characteristics of the shear layer vortices as well as counter-rotating vortex rings (CRVRs) as reported in the experimental measurements.
Formation of multiple triple points and the corresponding slip-stream shear layers and thus multipleCRVRs behind the primary vortex ring at different radial locations, in addition to the usual CRVRs, appears to be a unique characteristic for high Mach number vortex rings. For high PR, H2, case during formation stage, a vortex layer of reverse circulation (that of primary vortex ring) is formed from the outer wall of the shock tube, whose instability formed another series of opposite circulation vortices which interfere with the primary vortex ring considerably. Also, near the central zone, a near stationary slipstream vortex and multiple, fast moving tiny vortices of opposite circulation to slipstream vortex are observed. Mechanisms for formation of these complex vortex structures are identified. The implications of these phenomena on vortex rings' geometric and kinematic characteristics such as ring diameter, core diameter, circulation, translational velocity as well as vortex Mach number are discussed in detail illustrating their differences with low PR cases.
“…The embedded shock-free vortex ring (for PR = 3) diameter is found to increase initially during the formation time and then attain constant value at approximately t* = 1.24 (t = 600 μs), similar to an incompressible vortex rings free of stopping vortex (Das et al 2017). After reaching a constant diameter in PR = 8 case, a marginal increase in ring diameter is observed at t* = 4.40 (t = 1198 μs) due to the induced effect of CRVR as it moves ahead of the primary core (Murugan & Das 2010). The Primary ring diameter reduces marginally when the CRVR moves behind the core-centre of the primary ring due to the same induced effect, which also accelerates the flow (Murugan & Das 2010).…”
Section: Characteristics Of Vortex Ringmentioning
confidence: 91%
“…After reaching a constant diameter in PR = 8 case, a marginal increase in ring diameter is observed at t* = 4.40 (t = 1198 μs) due to the induced effect of CRVR as it moves ahead of the primary core (Murugan & Das 2010). The Primary ring diameter reduces marginally when the CRVR moves behind the core-centre of the primary ring due to the same induced effect, which also accelerates the flow (Murugan & Das 2010). The leapfrogging (Maxworthy 1972, Riley Stevens 1993 action of the shear layer vortices has the opposite effect and is evident from the vorticity field and numerical shadowgraphs of PR = 50 (see figure 8f).…”
Section: Characteristics Of Vortex Ringmentioning
confidence: 96%
“…Brouillette & Hebert (1997) first observed the appearance of a tiny vortex ring of opposite circulation to that of the primary vortex ring ahead of it and termed it as CRVR. The primary vortex ring's propagation and dynamics are severely affected by the CRVRs in a highly under-expanded flow regime (Murugan & Das 2010).…”
Compressible vortex rings, usually formed at the open end of a shock tube, often show interesting phenomena during their formation, evolution, and propagation depending on the shock Mach number (Ms) and exit flow conditions. The Mach number of the translating compressible vortex rings (Mv) investigated so far in the literature is subsonic as, the shock tube pressure ratio (PR) considered is relatively low. In this numerical study we focus on low to high vortex ring Mach numbers (0.31 < Mv < 1.08) cases with a particular focus on very high Mv cases that are not been reported in experiments as, it is difficult to obtain in laboratory. Using hydrogen as a driver section gas inside the shock tube, a supersonic compressible vortex ring (Mv > 1) is obtained for first time.It is established that the SST k-ω based DES turbulent model replicates the experimental observation better than the previously published results at different stages of development of the vortex ring. DES, which is an inbuilt hybrid of LES and RANS approaches is evoked that can automatically switch to the sub-grid scale (SGS) model in the LES regions (i.e. with different scale vortical structures) and to a RANS model in the rest of the region (i.e. where the grid spacing is greater than the turbulent length scale). The DES model can predict characteristics of the shear layer vortices as well as counter-rotating vortex rings (CRVRs) as reported in the experimental measurements.
Formation of multiple triple points and the corresponding slip-stream shear layers and thus multipleCRVRs behind the primary vortex ring at different radial locations, in addition to the usual CRVRs, appears to be a unique characteristic for high Mach number vortex rings. For high PR, H2, case during formation stage, a vortex layer of reverse circulation (that of primary vortex ring) is formed from the outer wall of the shock tube, whose instability formed another series of opposite circulation vortices which interfere with the primary vortex ring considerably. Also, near the central zone, a near stationary slipstream vortex and multiple, fast moving tiny vortices of opposite circulation to slipstream vortex are observed. Mechanisms for formation of these complex vortex structures are identified. The implications of these phenomena on vortex rings' geometric and kinematic characteristics such as ring diameter, core diameter, circulation, translational velocity as well as vortex Mach number are discussed in detail illustrating their differences with low PR cases.
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