Mode matching analysis for wave scattering in triple and pentafurcated spaced ducts

Mahmood-ul-Hassan,; Meylan, Michael H.; Bashir, Amna; Sumbul, M

doi:10.1002/mma.3751

Cited by 28 publications

(19 citation statements)

References 26 publications

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“…Here, the problem is solved numerically after fixing the analytical parameters and truncating linear algebraic systems upto N terms. For the physical analysis, the expressions for acoustic power in the duct regions can be found by using the definition given in Hassan et al, 11 that is,…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The attenuation of sound in infinite bifurcated and trifurcated waveguides has been discussed in earlier studies. [9][10][11][12][13][14][15][16][17][18] One way of noise reduction is the introduction of expansion chamber in the duct wherein it travels. Further addition of sound absorbent material into the expansion chamber is another method that has proved suitable to muffle unwanted noise; see, for instance, earlier studies.…”

Section: Introductionmentioning

confidence: 99%

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Acoustic radiation through a flexible shell in a bifurcated circular waveguide

Yaseen

Nawaz

2022

Math Methods in App Sciences

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The current study models and explains the fluid–structure coupled response of a flexible shell connected with two rigid coaxial shells via circular step discontinuities. Radiations from annular and inner regions of inlet rigid shells scatter on interfaces after interaction with the geometric variations and change of material properties. The flexible shell that supports vibrations along the shell is expressed though the Donnell–Mushtari formulation in the differential system. The mode‐matching technique is applied to solve the governing boundary value problem. The solution is projected on the orthogonal characteristics which in flexible casing is generalized as compared with the properties of acoustically rigid setting. The implication of generalized orthogonality relations governs additional constants that are found by defining the physical connection of shell with rigid disc. The clamped and pin‐jointed conditions are considered in this article. The scattering powers and transmission loss are analyzed against frequency, chamber length, and radii of shells for clamped and pin‐jointed edge conditions. It is found that the power propagation in annular shell and inner shell behave conversely. Moreover, configuration can be attenuated through the variation of dimensions of chamber and edge conditions.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Acoustic radiation through a flexible shell in a bifurcated circular waveguide

Yaseen

Nawaz

2022

Math Methods in App Sciences

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“…Another method to calculate AIT responses is NMM method [6][7][8]. The numerical analysis was used in the radial direction and analysis method was adopted in the vertical direction.…”

Section: Forward Algorithms For Ait Responsementioning

confidence: 99%

“…In order to eliminate the environmental influence and obtain the true-formation resistivity, a fast inversion technique was suggested in the present study. Since the inversion calculation was dependent on the forward algorithm, two forward calculation algorithms, geometry factor (GF) theory [1] and numerical mode-matching (NMM) method [6][7][8], were used in the inversion calculation respectively.…”

Section: Introductionmentioning

confidence: 99%

AIT Inversion and Site Applications Using Various Forward Algorithms

Liu¹,

Dai²

2017

Proceedings of the 7th International Conference on Education, Management, Information and Mechanical Engineering (EMIM 2017)

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Abstract. An inversion algorithms was suggested for array induction logging curves. Three parameters, true-formation resistivity, invasion depth and invasion-zone resistivity, were obtained simultaneously from the present inversion calculation using various forward algorithms. The inversed algorithm using numerical mode-matching method as forward calculation can yield stable and satisfied results. The inversion using geometry factor theory as forward calculation can save more computer time. Synthetic formation models and site applications illustrated the efficiency of the present algorithm.

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“…The eigenmode matching method is widely used in electromagnetism and acoustics to analyze waveguides. It can be used to solve surprisingly complex problems for example it has been applied to the problem of scattering by trifurcated and pentafurcated ducts [20], to scattering by floating elastic plates [21], submerged elastic plate [22] and even to predict wave scattering in the marginal ice zone [23].…”

Section: Introductionmentioning

confidence: 99%

Extraordinary acoustic transmission, symmetry, blaschke products and resonators

2017

Self Cite

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The phenomenon of extraordinary acoustic transmission (eat) in a resonator, which has recently been investigated experimentally, is studied theoretically. It is shown that the combination of a single propagating mode and a symmetry orthogonal to the direction of propagation for a resonator leads to eat. This is accomplished by decomposing the problem using symmetry, the Blaschke product and the properties of functions of a single complex variable which have modulus one on the real axis. The conditions of a resonator requires that the solution has singularities in the analytic extension to complex frequencies (resonances) and it is precisely near these resonances that we observe eat. The condition of a Blaschke product requires that there is a zero at the complex conjugate of the singularity and eat occurs when the solution on the real axis passes between these complex conjugate pairs of poles and zeros. A detailed numerical study of the problem is conducted and we show that once the single mode of propagation or the symmetry is broken then eat (at least perfect transmission) no longer holds generally.

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Mode matching analysis for wave scattering in triple and pentafurcated spaced ducts

Cited by 28 publications

References 26 publications

Acoustic radiation through a flexible shell in a bifurcated circular waveguide

Acoustic radiation through a flexible shell in a bifurcated circular waveguide

AIT Inversion and Site Applications Using Various Forward Algorithms

Extraordinary acoustic transmission, symmetry, blaschke products and resonators

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