{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,22]],"date-time":"2025-12-22T04:29:45Z","timestamp":1766377785614},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T00:00:00Z","timestamp":1558656000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T00:00:00Z","timestamp":1558656000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2020,10]]},"DOI":"10.1007\/s00366-019-00776-3","type":"journal-article","created":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T17:38:54Z","timestamp":1558719534000},"page":"1467-1483","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Computational and asymptotic methods for three-dimensional boundary-layer flow and heat transfer over a wedge"],"prefix":"10.1007","volume":"36","author":[{"given":"Ramesh B.","family":"Kudenatti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Jyothi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,5,24]]},"reference":[{"key":"776_CR1","first-page":"1","volume":"56","author":"H Blasius","year":"1908","unstructured":"Blasius H (1908) Grenzschichten in Flussigkeiten mit lieiner Reibung. Zentralblatt Math Phys 56:1\u201337","journal-title":"Zentralblatt Math Phys"},{"key":"776_CR2","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1002\/aic.690070211","volume":"7","author":"BC Sakiadis","year":"1961","unstructured":"Sakiadis BC (1961) Boundary layer behaviour on continuous flat surface. AICHE J 7:221\u2013225","journal-title":"AICHE J"},{"issue":"4","key":"776_CR3","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1007\/BF01587695","volume":"21","author":"LJ Crane","year":"1970","unstructured":"Crane LJ (1970) Flow past a stretching plate. Zeitschrift fur Angewandte Mathematik und Physik 21(4):645\u2013647","journal-title":"Zeitschrift fur Angewandte Mathematik und Physik"},{"key":"776_CR4","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1017\/S0022112076000670","volume":"76","author":"JB Klemp","year":"1976","unstructured":"Klemp JB, Acrivos AA (1976) A moving-wall boundary layer with reverse flow. J Fluid Mech 76:363\u2013381","journal-title":"J Fluid Mech"},{"issue":"5","key":"776_CR5","doi-asserted-by":"publisher","first-page":"1350","DOI":"10.1137\/0149081","volume":"49","author":"N Riley","year":"1989","unstructured":"Riley N, Weidman PD (1989) Multiple solutions of the Falkner\u2013Skan equation for flow past a stretching boundary. SIAM J Appl Math 49(5):1350\u20131358","journal-title":"SIAM J Appl Math"},{"key":"776_CR6","doi-asserted-by":"publisher","first-page":"5838","DOI":"10.1016\/j.ijheatmasstransfer.2008.04.067","volume":"51","author":"T Fang","year":"2008","unstructured":"Fang T (2008) Boundary layer flow over a shrinking sheet with power-law velocity. Int J Heat Mass Transf 51:5838\u20135843","journal-title":"Int J Heat Mass Transf"},{"key":"776_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-41378-0","volume-title":"Three-dimensional attached viscous flow","author":"EH Hirschel","year":"2014","unstructured":"Hirschel EH, Cousteix J, Koradulla W (2014) Three-dimensional attached viscous flow. Springer, Berlin"},{"key":"776_CR8","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1017\/S0022112061000391","volume":"10","author":"A Davey","year":"1961","unstructured":"Davey A (1961) Boundary layer flow at a saddle point of attachment. J Fluid Mech 10:593\u2013610","journal-title":"J Fluid Mech"},{"key":"776_CR9","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1017\/S0022112067001958","volume":"28","author":"A Davey","year":"1967","unstructured":"Davey A, Schofield D (1967) Three-dimensional flow near a two-dimensional stagnation point. J Fluid Mech 28:149\u2013151","journal-title":"J Fluid Mech"},{"key":"776_CR10","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1017\/jfm.2012.197","volume":"702","author":"PD Wiedman","year":"2012","unstructured":"Wiedman PD (2012) Non-axisymmetric Homann stagnation -point flows. J Fluid Mech 702:460\u2013469","journal-title":"J Fluid Mech"},{"key":"776_CR11","doi-asserted-by":"publisher","first-page":"5841","DOI":"10.1002\/mma.4433","volume":"40","author":"RB Kudenatti","year":"2017","unstructured":"Kudenatti RB, Kirsur SR (2017) Numerical and asymptotic study of non-axisymmetric magnetohydrodynamic boundary layer stagnation point flows. Math Methods Appl Sci 40:5841\u20135850","journal-title":"Math Methods Appl Sci"},{"key":"776_CR12","first-page":"1","volume":"4761","author":"RB Kudenatti","year":"2018","unstructured":"Kudenatti RB, Gogate SP, Bujurke NM (2018) Asymptotic and numerical solutions of three-dimensional boundary-layer flow past a moving wedge. Math Methods Appl Sci 4761:1\u201313","journal-title":"Math Methods Appl Sci"},{"key":"776_CR13","doi-asserted-by":"publisher","first-page":"280","DOI":"10.1016\/0142-727X(95)00001-7","volume":"16","author":"ME Ali","year":"1995","unstructured":"Ali ME (1995) On thermal boundary layer on a power-law stretched surface with suction or injection. Int J Heat Fluid Flow 16:280\u2013290","journal-title":"Int J Heat Fluid Flow"},{"key":"776_CR14","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/BF01184307","volume":"130","author":"KA Yih","year":"1998","unstructured":"Yih KA (1998) The effect of uniform suction\/blowing on heat transfer of magnetohydrodynamic Hiemenz flow through porous media. Acta Mechanica 130:147\u2013158","journal-title":"Acta Mechanica"},{"key":"776_CR15","doi-asserted-by":"publisher","first-page":"864","DOI":"10.1016\/j.amc.2006.06.077","volume":"184","author":"R Cortell","year":"2007","unstructured":"Cortell R (2007) Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl Math Comput 184:864\u2013873","journal-title":"Appl Math Comput"},{"key":"776_CR16","doi-asserted-by":"publisher","first-page":"1468","DOI":"10.1016\/j.amc.2012.07.049","volume":"219","author":"AD Fitt","year":"2012","unstructured":"Fitt AD (2012) Generalized exact solutions for boundary layer flow and heat transfer over permeable stretching sheets. Appl Math Comput 219:1468\u20131473","journal-title":"Appl Math Comput"},{"issue":"8","key":"776_CR17","doi-asserted-by":"publisher","first-page":"084705","DOI":"10.1088\/0256-307X\/29\/8\/084705","volume":"29","author":"A Shahzad","year":"2012","unstructured":"Shahzad A, Ali R, Khan M (2012) On the exact solution for axisymmetric flow and heat transfer over a nonlinear radially stretching sheet. Chin Phys Lett 29(8):084705","journal-title":"Chin Phys Lett"},{"key":"776_CR18","doi-asserted-by":"publisher","first-page":"107203","DOI":"10.1063\/1.4932627","volume":"5","author":"M Khan","year":"2015","unstructured":"Khan M, Hashim (2015) Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet. AIP Adv 5:107203","journal-title":"AIP Adv"},{"key":"776_CR19","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1016\/j.rinp.2016.11.013","volume":"6","author":"J Ahmed","year":"2016","unstructured":"Ahmed J, Begum A, Shahzad A, Ali R (2016) MHD axisymmetric flow of power-law fluid over an unsteady stretching sheet with convective boundary conditions. Results Phys 6:973\u2013981","journal-title":"Results Phys"},{"key":"776_CR20","doi-asserted-by":"publisher","first-page":"1915","DOI":"10.1063\/1.864868","volume":"27","author":"CY Wang","year":"1984","unstructured":"Wang CY (1984) Three-dimensional flow due to stretching flat surface. Phys Fluids 27:1915\u20131917","journal-title":"Phys Fluids"},{"key":"776_CR21","doi-asserted-by":"publisher","first-page":"1421","DOI":"10.1007\/s10483-010-1372-6","volume":"31","author":"N Bachok","year":"2010","unstructured":"Bachok N, Ishak A, Pop I (2010) Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet. Appl Math Mech 31:1421\u20131428","journal-title":"Appl Math Mech"},{"issue":"9","key":"776_CR22","doi-asserted-by":"publisher","first-page":"e107287","DOI":"10.1371\/journal.pone.0107287","volume":"9","author":"JA Khan","year":"2014","unstructured":"Khan JA, Mustafa M, Hayat T, Alsaedi A (2014) On three-dimensional flow and heat transfer over a non-linearly stretching sheet:analytical and numerical solutions. PLoS One 9(9):e107287","journal-title":"PLoS One"},{"key":"776_CR23","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.jmmm.2015.07.091","volume":"396","author":"T Hayat","year":"2015","unstructured":"Hayat T, Imtiaz M, Alsaedi A, Kutbi MA (2015) MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation. J Magn Magn Mater 396:31\u201337","journal-title":"J Magn Magn Mater"},{"key":"776_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cnsns.2016.06.022","volume":"43","author":"A Borrelli","year":"2017","unstructured":"Borrelli A, Giantesio G, Patria MC, Rosca NC, Rosca AV, Pop I (2017) Buoyancy effects on the 3D MHD stagnation-point flow of a Newtonian fluid. Commun Nonlinear Sci Numer Simul 43:1\u201313","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"776_CR25","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1016\/j.physa.2018.02.204","volume":"503","author":"A Farooq","year":"2018","unstructured":"Farooq A, Ali R, Benim AC (2018) Soret and Dufour effects on three dimensional Oldroyd-B fluid. Phys A Stat Mech Appl 503:345\u2013354","journal-title":"Phys A Stat Mech Appl"},{"issue":"1","key":"776_CR26","first-page":"33","volume":"3","author":"K Ahmad","year":"2011","unstructured":"Ahmad K, Nazar R (2011) Magnetohydrodynamic three-dimensional flow and heat transfer over a stretching surface in a viscoelastic fluid. J Sci Technol 3(1):33\u201346","journal-title":"J Sci Technol"},{"key":"776_CR27","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1016\/j.ijthermalsci.2007.05.001","volume":"47","author":"H Xu","year":"2008","unstructured":"Xu H, Liao S, Pop I (2008) Series solutions of unsteady free convection flow in the stagnation-point region of a three dimensional body. Int J Therm Sci 47:600\u2013608","journal-title":"Int J Therm Sci"},{"key":"776_CR28","doi-asserted-by":"publisher","first-page":"011702-1-8","DOI":"10.1115\/1.3194765","volume":"132","author":"EE Tzirtzilakis","year":"2010","unstructured":"Tzirtzilakis EE, Kafoussias NG (2010) Three-dimensional magnetic fluid boundary-layer flow over a linearly stretching sheet. ASME J Heat Transf 132:011702-1-8","journal-title":"ASME J Heat Transf"},{"key":"776_CR29","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1017\/S0022112001004724","volume":"441","author":"PW Duck","year":"2001","unstructured":"Duck PW, Dry SL (2001) On a class of unsteady, nonparallel, three-dimensional disturbances to boundary-layer flows. J Fluid Mech 441:31\u201365","journal-title":"J Fluid Mech"},{"key":"776_CR30","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1146\/annurev.fl.10.010178.002221","volume":"10","author":"HB Keller","year":"1970","unstructured":"Keller HB (1970) Numerical methods in boundary layer theory. Annu Rev Fluid Mech 10:417\u2013428","journal-title":"Annu Rev Fluid Mech"},{"key":"776_CR31","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1111\/j.1467-9590.2007.00386.x","volume":"120","author":"PL Sachdev","year":"2008","unstructured":"Sachdev PL, Kudenatti RB, Bujurke NM (2008) Exact analytical solution of a boundary value problem for the Falkner\u2013Skan equation. Stud Appl Math 120:1\u201316","journal-title":"Stud Appl Math"},{"key":"776_CR32","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/j.ijnonlinmec.2012.11.005","volume":"50","author":"RB Kudenatti","year":"2013","unstructured":"Kudenatti RB, Kirsur SR, Achala LN, Bujurke NM (2013) MHD boundary layer flow over a non-linear stretching boundary with suction and injection. Int J Nonlinear Mech 50:58\u201367","journal-title":"Int J Nonlinear Mech"},{"key":"776_CR33","volume-title":"Handbook of mathematical functions with formulas, graphs and mathematical tables","author":"M Abramowitz","year":"1970","unstructured":"Abramowitz M, Stegun I (1970) Handbook of mathematical functions with formulas, graphs and mathematical tables, 9th edn. Dover Publications, New York","edition":"9"},{"key":"776_CR34","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198565581.001.0001","volume-title":"Special functions of mathematics for engineers","author":"L Andrews","year":"1998","unstructured":"Andrews L (1998) Special functions of mathematics for engineers, 2nd edn. Oxford University Press, Oxford","edition":"2"},{"key":"776_CR35","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1063\/1.870287","volume":"12","author":"P Corbett","year":"2000","unstructured":"Corbett P, Bottaro A (2000) Optimal perturbations for boundary layers subject to stream-wise pressure gradient. Phys Fluids 12:120","journal-title":"Phys Fluids"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00776-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-019-00776-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00776-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,18]],"date-time":"2024-07-18T16:39:56Z","timestamp":1721320796000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-019-00776-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,24]]},"references-count":35,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["776"],"URL":"https:\/\/doi.org\/10.1007\/s00366-019-00776-3","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,5,24]]},"assertion":[{"value":"7 December 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 May 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}