Acknowledgement
This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No 16794/01/2020.
References
- Abdulrazzaq, M.A., Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2020), "Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory", Steel Compos. Struct., Int. J., 35(1), 147-57. https://doi.org/10.12989/scs.2020.35.1.147
- Agranat, V.M. (1988), "Effect of pressure gradient on friction and heat transfer in a dusty boundary layer", Fluid Dyn., 23, 729-732. http://dx.doi.org/10.1007/BF02614150
- Akbas, S.D. (2015), "Wave propagation of a functionally graded beam in thermal environments", Steel Compos. Struct., Int. J., 19(6), 1421-1447. https://doi.org/10.12989/scs.2015.19.6.1421
- Akbas, S.D. (2017a), "Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory", Int. J. Struct. Stabil. Dyn., 17(3), 1750033. https://doi.org/10.1142/S021945541750033X
- Akbas, S.D. (2017b), "Nonlinear static analysis of functionally graded porous beams under thermal effect", Coupled Syst. Mech., Int. J., 6(4), 399-415. https://doi.org/10.12989/csm.2017.6.4.399
- Akbas, S.D. (2018a), "Large deflection analysis of a fiber reinforced composite beam", Steel Compos. Struct., Int. J., 27(5), 567-576. https://doi.org/10.12989/scs.2018.27.5.567
- Akbas, S.D. (2018b), "Geometrically nonlinear analysis of a laminated composite beam", Struct. Eng. Mech., Int. J., 66(1), 27-36. https://doi.org/10.12989/sem.2018.66.1.027
- Akbas, S.D. (2018c), "Post-buckling responses of a laminated composite beam", Steel Compos. Struct., Int. J., 26(6), 733-743. https://doi.org/10.12989/scs.2018.26.6.733
- Akbas, S.D. (2018d), "Thermal post-buckling analysis of a laminated composite beam", Struct. Eng. Mech., Int. J., 67(4), 337-346. https://doi.org/10.12989/sem.2018.67.4.337
- Akbas, S.D. (2018e), "Nonlinear thermal displacements of laminated composite beams", Coupled Syst. Mech., Int. J., 7(6), 691-705. https://doi.org/10.12989/csm.2018.7.6.691
- Akbas, S.D. (2019a), "Nonlinear static analysis of laminated composite beams under hygro-thermal effect", Struct. Eng. Mech., Int. J., 72(4), 433-441. https://doi.org/10.12989/sem.2019.72.4.433
- Akbas, S.D. (2019b), "Post-buckling analysis of a fiber reinforced composite beam with crack", Eng. Fract. Mech., 212, 70-80. https://doi.org/10.1016/j.engfracmech.2019.03.007
- Akbas, S.D. (2019c), "Hygrothermal post-buckling analysis of laminated composite beams", Int. J. Appl. Mech., 11(1), 1950009. https://doi.org/10.1142/S1758825119500091
- Akbas, S.D. (2019d), "Forced vibration analysis of functionally graded sandwich deep beams", Coupled Syst. Mech., Int. J., 8(3), 259-271. https://doi.org/10.12989/csm.2019.8.3.259
- Akbas, S.D. (2020a), "Dynamic responses of laminated beams under a moving load in thermal environment", Steel Compos. Struct., Int. J., 35(6), 729-737. https://doi.org/10.12989/scs.2020.35.6.729
- Akbas, S.D. (2020b), "Modal analysis of viscoelastic nanorods under an axially harmonic load", Adv. Nano Res., Int. J., 8(4), 277-282. https://doi.org/10.12989/anr.2020.8.4.277
- Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations", Steel Compos. Struct., Int. J., 11(5), 403-421. https://doi.org/10.12989/scs.2011.11.5.403
- Al-Maliki, A.F., Ahmed, R.A., Moustafa, N.M. and Faleh, N.M. (2020), "Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams", Adv. Computat. Des., Int. J., 5(2), 177-193. https://doi.org/10.12989/acd.2020.5.2.177
- Avcar, M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., Int. J., 30(6), 603-615. https://doi.org/10.12989/scs.2019.30.6.603
- Baaskaran, N., Ponappa, K. and Shankar, S. (2018), "Assessment of dynamic crushing and energy absorption characteristics of thin-walled cylinders due to axial and oblique impact load", Steel Compos. Struct., Int. J., 28(2), 179-194. https://doi.org/10.12989/scs.2018.28.2.179
- Batou, B., Nebab, M., Bennai, R., Atmane, H.A., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., Int. J., 33(5), 699-716. https://doi.org/10.12989/scs.2019.33.5.699
- Benmansour, D.L., Kaci, A., Bousahla, A.A., Heireche, H., Tounsi, A., Alwabli, A.S., Alhebshi, A.M., Al-ghmady, K. and Mahmoud, S.R. (2019), "The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory", Adv. Nano Res., Int. J., 7(6), 443-457. https://doi.org/10.12989/anr.2019.7.6.443
- Chakrabarti, K.M. (1974), "Note on Boundary layer in a dusty gas", Am. Inst. Aeronaut. Astronaut. J., 12, 1136-1137. http://dx.doi.org/10.2514/3.49427
- Chen, J., Zhuang, Y., Fang, H., Liu, W., Zhu, L. and Fan, Z. (2019), "Energy absorption of foam-filled lattice composite cylinders under lateral compressive loading", Steel Compos. Struct., Int. J., 31(2), 133-148. https://doi.org/10.12989/scs.2019.31.2.133
- Civalek, O. (2017), "Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method", Compos. Part B: Eng., 111, 45-59. https://doi.org/10.1016/j.compositesb.2016.11.030
- Derakhshandeh, J.F. and Alam, M.M. (2020), "Reynolds number effect on the flow past two tandem cylinders", Wind Struct., Int. J., 30(5), 475-483. https://doi.org/10.12989/was.2020.30.5.475
- Ebrahimi, F., Dabbagh, A., Rabczuk, T. and Tornabene, F. (2019), "Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porositydependent homogenization scheme", Adv. Nano Res., Int. J., 7(2), 135-143. 10.12989/anr.2019.7.2.135
- Eltaher, M.A., Almalki, T.A., Ahmed, K.I. and Almitani, K.H. (2019), "Characterization and behaviors of single walled carbon nanotube by equivalent-continuum mechanics approach", Adv. Nano Res., Int. J., 7(1), 39-49. 10.12989/anr.2019.7.1.039
- Iqbal, W., Naeem, M.N. and Jalil, M. (2019), "Numerical analysis of Williamson fluid flow along an exponentially stretching cylinder", AIP Advances, 9(5), 055118. http://dx.doi.org/10.1063/1.50927377
- Ishak, A., Nazar, R. and Pop, I. (2008), "Uniform suction/blowing effect on flow and heat transfer due to stretching cylinder", App. Math. Mod., 32, 2059-2066. http://dx.doi.org/10.1016/j.apm.2007.06.036
- Ishak, A., Nazar, R. and Pop, I. (2009), "Boundary layer flow and heat transfer over an unsteady stretching vertical surface", Meccanica, 44(4), 369-375. https://doi.org/10.1007/s11012-008-9176-9
- Karami, B., Janghorban, M. and Tounsi, A. (2018), "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles", Steel Compos. Struct., Int. J., 27(2), 201-216. https://doi.org/10.12989/scs.2018.27.2.201
- Khan, M. and Malik, R. (2015), "Forced convective heat transfer to Sisko fluid flow past a stretching cylinder", AIP Advances, 5(12), 127202. http://dx.doi.org/10.1063/1.4937346
- Konch, J. and Hazarika, G.C. (2017), "Unsteady Hydro magnetic flow of dusty fluid over a stretching cylinder with variable viscosity and thermal conductivity", Int. J. Adv. Sci. Tech., 99, 57-70. http://dx.doi.org/10.14257/ijast.2017.99.05
- Imtiaz, M., Hayat, T. and Alsaedi, A. (2016a), "Mixed convection flow of Casson nanofluid over a stretching cylinder with convective boundary conditions", Adv. Power Tech., 27(5), 2245-2256. https://doi.org/10.1016.j.apt.2016.08.011 https://doi.org/10.1016.j.apt.2016.08.011
- Imtiaz, M., Hayat, T. and Alsaedi, A. (2016b), "MHD convective flow of Jeffrey fluid due to a curved stretching surface with homogeneous-heterogeneous reactions", Plos one, 11(9), e0161641. https://doi.org/10.1371/journal.pone.0161641
- Iqbal, W., Naeem, M.N. and Jalil, M. (2019), "Numerical analysis of Williamson fluid flow along an exponentially stretching cylinder", AIP Adv., 9(5), 055118. https://doi.org/10.1063/1.5092737
- Ishak, A., Nazar, R. and Pop, I. (2008), "Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet", Heat Mass Transfer, 44(8), 921-927. https://doi.org/10.1007/s00231-007-0322-z
- Loghman, A., Faegh, R.K. and Arefi, M. (2018), "Two dimensional time-dependent creep analysis of a thick-walled FG cylinder based on first order shear deformation theory", Steel Compos. Struct., Int. J., 26(5), 533-547. https://doi.org/10.12989/scs.2018.26.5.533
- Madani, H., Hosseini, H. and Shokravi, M. (2016), "Differential cubature method for vibration analysis of embedded FG-CNT-reinforced piezoelectric cylindrical shells subjected to uniform and non-uniform temperature distributions", Steel Compos. Struct., Int. J., 22(4), 889-913. https://doi.org/10.12989/scs.2016.22.4.889
- Mahdy, A. (2015), "Heat transfer and flow of a Casson fluid due to a stretching cylinder with the soret and dufour effects", J. Eng. Phys. Thermophy., 88(4), 928-936. https://doi.org/10.1007/s10891-015-1267-6
- Malik, M.Y., Naseer, M., Nadeem, S. and Rehman, A. (2013), "The boundary layer flow of Casson nanofluid over an exponentially stretching cylinder", Appl. Nanosci., 4, 869-873. https://doi.org/10.1007/s 13204-013-0267-0
- Malik, M.Y., Hussain, A., Salahuddin, T., Awais, M., Bilal, S. and Khan, F. (2016), "Flow of Sisko fluid over a stretching cylinder and heat transfer with viscous dissipation and variable thermal conductivity: A numerical study", AIP Advances, 6(4), 045118. https://doi.org/10.1063/1.4948458
- Moghaddam, S.H. and Masoodi, A.R. (2019), "Elastoplastic nonlinear behavior of planar steel gabled frame", Adv. Computat. Des., Int. J., 4(4), 397-413. https://doi.org/10.12989/acd.2019.4.4.397
- Naseer, M., Malik, M.Y., Nadeem, S. and Rehman, A. (2014), "The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder", Alexandria Eng. J., 53, 747-750. https://doi.org/10.1016/j.aej.2014.05.001
- Nath, G. (1970), "DUSTY VISCOUS-FLUID FLOW BETWEEN ROTATING COAXIAL CYLINDERS", PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 40(3), 257.
- Rad, M.H.G., Shahabian, F. and Hosseini, S.M. (2020), "Geometrically nonlinear dynamic analysis of FG graphene platelets-reinforced nanocomposite cylinder: MLPG method based on a modified nonlinear micromechanical model", Steel Compos. Struct., Int. J., 35(1), 77-92. https://doi.org/10.12989/scs.2020.35.1.077
- Rasekh, A., Ganji, D.D., Tavakoli, S., Ehsani, H. and Naeejee, S. (2014), "MHD flow and heat transfer of dusty fluid over a stretching hollow cylinder with a convective boundary conditions", Heat Trans. Asian Res., 43(3), 221-232. https://doi.org/10.1002/htj.21073
- Rebhi, A.D. (2010), "On boundary layer flow of dusty gas from a horizontal circular cylinder", Braz. J. Chem. Eng., 27(4), 653-662. http://dx.doi.org/10.1590/S0104-66322010000400017
- Rehman, A. (2015), "Boundary layer flow and heat transfer of Micropolar Fluid over a vertical exponentially stretching cylinder", Appl. Compos. Math., 4(6), 424-430. http://dx.doi.org/10.11648/j.acm.20150406.15
- Safaei, B., Khoda, F.H. and Fattahi, A.M. (2019), "Non-classical plate model for single-layered graphene sheet for axial buckling", Adv. Nano Res., Int. J., 7(4), 265-275. https://doi.org/10.12989/anr.2019.7.4.265
- Saffman, P.G. (1962), "On the stability of laminar flow of a dusty gas", J. Fluid Mech., 13, 120-128. https://doi.org/10.1017/S0022112062000555
- Salah, F., Boucham, B., Bourada, F., Benzair, A., Bousahla, A.A. and Tounsi, A. (2019), "Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model", Steel Compos. Struct., Int. J., 33(6), 805-822. https://doi.org/10.12989/scs.2019.33.6.805
- Salahuddin, T., Malik, M.Y., Hussain, A., Awais, M. and Bilal, S. (2017), "Mixed convection boundary layer flow of Williamson fluid with slip conditions over a stretching cylinder by using Keller-box method", Int. J. Nonlinear Sci. Numer. Simul., 18(1), 9-17. https://doi.org/10.1515/ijnsns.2015.0090
- Shadravan, S., Ramseyer, C.C. and Floyd, R.W. (2019), "Comparison of structural foam sheathing and oriented strand board panels of shear walls under lateral load", Adv. Computat. Des., Int. J., 4(3), 251-272. https://doi.org/10.12989/acd.2019.4.3.251
- Shahsavari, D., Karami, B. and Janghorban, M. (2019), "Size-dependent vibration analysis of laminated composite plates", Adv. Nano Res., Int. J., 7(5), 337-349. 10.12989/anr.2019.7.5.337
- Sharma, N. and Panda, S.K. (2020), "Multiphysical numerical (FE-BE) solution of sound radiation responses of laminated sandwich shell panel including curvature effect", Comput. Mathe. Applicat., 80(5), 1221-1239. https://doi.org/10.1016/j.camwa.2020.06.010
- Simsek, M. (2011), "Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory", Steel Compos. Struct., Int. J., 11(1), 59-76. https://doi.org/10.12989/scs.2011.11.1.059
- Sofiyev, A.H., Yucel, K., Avcar, M. and Zerin, Z. (2006), "The dynamic stability of orthotropic cylindrical shells with nonhomogenous material properties under axial compressive load varying as a parabolic function of time", J. Reinf. Plastics Compos., 25(18), 1877-1886. https://doi.org/10.1177/0731684406069914
- Turkyilmazoglu, M. (2011), "Thermal radiation effects on the time-dependent MHD permeable flow having variable viscosity", Int. J. Thermal Sci., 50(1), 88-96. https://doi.org/10.1016/j.ijthermalsci.2010.08.016
- Turkyilmazoglu, M. (2016), "Natural convective flow of nanofluids past a radiative and impulsive vertical plate", J. Aerosp. Eng., 29(6), 04016049. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000643
- Turkyilmazoglu, M. (2020), "Single phase nanofluids in fluid mechanics and their hydrodynamic linear stability analysis", Comput. Methods Programs Biomed., 187, 105171. https://doi.org/10.1016/j.cmpb.2019.105171
- Wang, C.Y. and Ng, C-O. (2011), "Slip flow due to a stretching cylinder", Int. J. Non-Lin. Mech., 46, 1191-1194. https://doi.org/10.1016/j.ijnonlinmec.2011.05.04
- Wang, L., Liu, J., Li, X., Shi, J., Hu, J., Cui, R., Zhang, Z.L., Pang, D.W. and Chen, Y. (2011), "Growth propagation of yeast in linear arrays of microfluidic chambers over many generations", Biomicrofluidics, 5(4), 044118. https://doi.org/10.1063/1.3668243
- Yuksel, Y.Z. and Akbas, S.D. (2019), "Buckling analysis of a fiber reinforced laminated composite plate with porosity", J. Computat. Appl. Mech., 50(2), 375-380. https://doi.org/10.22059/JCAMECH.2019.291967.448