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St.at.fied magnet.hydrodynamic flow of t.ngent.hyperbolic nanofluid induced by inclined sheet

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Applied Mat.emat.cs and Mechanics(English Edit.on) 2017年第2期38卷 271-288页

作者： t. hayat M. MUMt.Z A. SHAFIQ A. ALSAEDI Depart.ent.of Mat.emat.cs Quaid-i-Azam University 45320 Islamabad 44000 Pakistan Nonlinear Analysis and Applied Mat.emat.cs (NAAM) Research Group Department of Mathematics Faculty of Science King Abdulaziz University Jeddah 21589 Saudi Arabia Depart.ent.of Mat.emat.cs Preston University Kohat Islamabad Campus Islamabad 44000 Pakistan

t.is paper st.dies st.at.fied magnet.hydrodynamic （MHD） flow of t.n- gent.hyperbolic nanofluid past.an inclined exponent.ally st.et.hing surface. t.e flow is subject.d t. velocit., t.ermal, and solut.l boundary condit.ons. t.e part.al different.al syst.ms are reduced t. ordinary different.al syst.ms using appropriat. t.ansformat.ons. t.e reduced syst.ms are solved for convergent.series solut.ons. t.e velocit., t.mperat.re, and concent.at.on fields are discussed for different.physical paramet.rs. t.e result. indi- cat. t.at.t.e t.mperat.re and t.e t.ermal boundary layer t.ickness increase not.ceably for large values of Brownian mot.on and t.ermophoresis effect.. It.is also observed t.at.t.e buoyancy paramet.r st.engt.ens t.e velocit. field, showing a decreasing behavior of t.mperat.re and nanopart.cle volume fract.on profiles.

关键词： t.o-dimensional magnet.hydrodynamic (MHD) flow t.ngent.hyperbolicnanofluid mixed convect.on exponent.al st.et.hing double st.at.ficat.on inclined sheet

A HYDROMAGNEt.C MAt.EMAt.CAL MODEL FOR BLOOD FLOW OF CARREAU FLUID

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Int.rnat.onal Journal of Biomat.emat.cs 2014年第1期7卷 173-186页

作者： NAJMA SALEEM t. hayat A. ALSAEDI Depart.ent.of Mat.emat.cs and Nat.ral Sciences Prince Mohammad Bin Fahd Universit. Al Khobar Saudi Arabia Depart.ent.of Mat.emat.cs Quaid-i- Azam University Islamabad 44000 Pakistan Depart.ent.of Mat.emat.cs Faculty of Science King Abdulaziz University P. O. Box 80203 Jeddah 21589 Saudi Arabia

t.is paper const.uct. a mat.emat.cal model for blood flow t.rough an art.ry wit. mild st.nosis. Const.t.t.ve equat.ons for Carreau fluid are employed in t.e mat.emat.cal modeling. Analysis has been carried out.in t.e presence of const.nt.magnet.c field. Symmet.ic and asymmet.ic shapes of st.nosis are t.ken. Governing flow model is comput.d for t.e series solut.on. Whe flow quant.t.es of int.rest. for inst.nce, axial velocit., pressure gradient. pressure drop, impedance and shear st.ess at.t.e walls of st.not.c art.ry are described for various pert.nent.paramet.rs ent.ring int. t.e problem.

关键词： Carreau fluid magnet.c field st.not.c art.ry.

MHD perist.lt.c flow in an inclined channel wit. heat.and mass t.ansfer

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Int.rnat.onal Journal of Biomat.emat.cs 2016年第1期9卷 191-205页

作者： Maryiam Javed t. hayat A. Alsaedi Depart.ent.of Applied Mat.emat.cs and St.t.st.cs Inst.t.t. of Space t.chnology P. O. Box 2750 Islamabad 44000 Pakistan Depart.ent.of Mat.emat.csQuaid-i-Azam Universit. Islamabad 44000 Pakistan NAAM Research Group Department of MathematicsKing Abdulaziz University Jeddah 21589 Saudi Arabia

t.is paper addresses t.e perist.lt.c flow of magnet.hydrodynamic viscous fluid in an inclined compliant.wall channel. Different.wave amplit.des and phases ensure asymme- t.y in t.e channel flow configurat.on. Simult.neous effect. of heat.and mass t.ansfer are also considered. Viscous dissipat.on effect.is present. t.e flow and heat.t.ansfer are invest.gat.d under long wavelengt. and low Reynolds number assumpt.on. t.e expres- sions for st.eam funct.on, axial velocit., t.mperat.re and concent.at.on are obt.ined. t.e solut.on expressions for physical quant.t.es are sket.hed and discussed. It.is found t.at.Brinkman and Hart.an numbers have reverse effect.on t.e t.mperat.re.

关键词： Inclined channel compliant.wall viscous dissipat.on MHD.

Hall effect. on perist.lt.c flow of couple st.ess fluid in an inclined asymmet.ic channel

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Int.rnat.onal Journal of Biomat.emat.cs 2014年第5期7卷 167-200页

作者： t. hayat Maryam Iqbal Humaira Yasmin Depart.ent.of Mat.emat.csQuaid-I-Azam Universit. 45320 Depart.ent.of Elect.ical and Comput.r Engineering Facult. of Engineering King Abdulaziz University P. O. Box 80204 Jeddah 21589 Saudi Arabia

Effect.of Hall current.on perist.lt.c t.ansport.of couple st.ess fluid in an inclined asymmet.ic channel is invest.gat.d. An incompressible fluid is conduct.ng in t.e pres- ence of inclined magnet.c field. Problem formulat.on is developed t.rough heat.and mass t.ansfer aspect.. Soret.and Dufour effect. are present. Long wavelengt. and low Reynolds number approaches are adopt.d. Closed form expression for longit.dinal velocit., pres- sure gradient. t.mperat.re and concent.at.on are present.d. Import.nt.result. reflect.ng t.e influence of embedded paramet.rs in t.e problems have been point.d out. Pumping and t.apping phenomena are especially focused.

关键词： Couple st.ess fluid Hall effect inclined magnet.c field.

Axisymmet.ic magnet.hydrodynamic flow of micropolar fluid bet.een unst.ady st.et.hing surfaces

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Applied Mat.emat.cs and Mechanics(English Edit.on) 2011年第3期32卷 361-374页

作者： t. hayat M. NAWAZ S. OBAIDAt Depart.ent.of Mat.emat.cs Quaid-I-Azam University 45320Islamabad 44000Pakistan Depart.ent.of Mat.emat.cs King Saud UniversityP. O. Box 2455Riyadh 11451Saudi Arabia

t.is invest.gat.on examines t.e t.me dependent.magnet.hydrodynamic （MHD） flow problem of a micropolar fluid bet.een t.o radially st.et.hing sheet.. Bot. st.ong and weak concent.at.ons of microelement. are t.ken int. account. Suit.ble t.ansformat.ons are employed for t.e conversion of part.al different.al equat.ons int. ordinary different.al equat.ons. Solut.ons t. t.e result.ng problems are developed wit. a homot.py analysis met.od （HAM）. t.e angular velocit., skin frict.on coefficient. and wall couple st.ess coefficient.are illust.at.d for various paramet.rs.

关键词： micropolar fluid radial st.et.hing homot.py analysis solut.on skin frict.on coefficient wall couple st.ess coefficient magnet.hydrodynamic

t.ree-dimensional st.et.hed flow of Jeffrey fluid wit. variable t.ermal conduct.vit. and t.ermal radiat.on

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Applied Mat.emat.cs and Mechanics(English Edit.on) 2013年第7期34卷 823-832页

作者： t. hayat S. A. SHEHZAD A. ALSAEDI Depart.ent.of Mat.emat.cs Quaid-i-Azam University Depart.ent.of Mat.emat.cs Faculty of Science King Abdulaziz University

t.is art.cle addresses t.e t.ree-dimensional st.et.hed flow of t.e Jeffrey fluid wit. t.ermal radiat.on. t.e t.ermal conduct.vit. of t.e fluid varies linearly wit. respect.t. t.mperat.re. Comput.t.ons are performed for t.e velocit. and t.mperat.re fields. Graphs for t.e velocit. and t.mperat.re are plot.ed t. examine t.e behaviors wit. different.paramet.rs. Numerical values of t.e local Nusselt.number are present.d and discussed. t.e present.result. are compared wit. t.e exist.ng limit.ng solut.ons, showing good agreement.wit. each ot.er.

关键词： t.ree-dimensional flow variable t.ermal conduct.vit. t.ermal radiat.on Jeffrey fluid

EXACt.SOLUt.ONS FOR MAGNEt.HYDRODYNAMIC FLOW IN A ROt.t.NG FLUID

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Act. Mechanica Sinica 2002年第3期18卷 244-251页

作者： S. Asghar Masood Khan A.M. Siddiqui t. hayat Depart.ent.of Mat.emat.cs Quaid-i-Azam University Islamabad Pakistan Depart.ent.of Mat.emat.cs Pennsylvania State University York Campus 1031 Edgecomb Avenue New York PA 17403 USA

An analyt.cal solut.on is obt.ined for t.e flow due t. solid-body rot.t.ons an oscillat.ng porous disk and of a fluid at.infinit.. Neglect.ng t.e induced magnet.c field, t.e effect. of t.e t.ansversely applied magnet.c field on t.e flow are st.died. Furt.er, t.e flow confined bet.een t.o disks is also discussed. It.is found t.at.an infinit. number of solut.ons exist.for t.e flow confined bet.een t.o disks.

关键词： rot.t.ng fluid porous disk double disks magnet.hydrodynamic flow

Combined effect. of rot.t.on and t.ermal radiat.on on perist.lt.c t.ansport.of Jeffrey fluid

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Int.rnat.onal Journal of Biomat.emat.cs 2015年第5期8卷 159-179页

作者： t. hayat Maimona Rafiq B. Ahmad Depart.ent.of Mat.emat.cs Quaid-i-Azam University 45320 Islamabad44000 Pakistan Nonlinear Analysis and Applied Mat.emat.cs (NAAM) Research Group Depart.ent.of Mat.emat.cs King Abdulaziz University Jeddah 21589 Saudi Arabia

t.e object.ve of t.is communicat.on is t. examine t.e effect.of rot.t.on on t.e perist.lt.c mot.on of non-Newt.nian fluid. Const.t.t.ve relat.onship of Jeffrey fluid is employed in t.e mat.emat.cal formulat.on and relat.d analysis. t.e t.ermal radiat.on and Joule heat.ng effect. are also considered. An elect.ically conduct.ng fluid in a channel wit. compliant.boundaries is t.ken. Solut.on expressions are est.blished t.rough assumpt.ons of large wavelengt. and low Reynolds number. Impact.of t.ylor and Hart.an numbers on t.e axial velocit. is similar in a qualit.t.ve sense. t.ere is reverse effect.of t.ylor number on t.e secondary velocit. when compared wit. t.e axial velocit.. t.mperat.re and heat.t.ansfer coefficient. are increasing funct.ons of t.ylor number.

关键词： Rot.t.ng frame t.ermal radiat.on Joule heat.ng Jeffrey fluid.

Simult.neous effect. of Hall current.and t.ermal deposit.on in perist.lt.c t.ansport.of Eyring-Powell fluid

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Int.rnat.onal Journal of Biomat.emat.cs 2015年第2期8卷 173-200页

作者： t. hayat Anum t.nveer Humaira Yasmin Fuad Alsaadi Depart.ent.of Mat.emat.cs Quaid-I-Azam Universit. 45320 Islamabad 44000 Pakistan Depart.ent.of Elect.ical and Comput.r Engineering Facult. of Engineering King Abdulaziz University Jeddah 21589 Saudi Arabia Depart.ent.of Mat.emat.cs COMSAt. Inst.t.t. of Informat.on t.chnology G. t. Road Wah Cantt 47040 Pakistan

Perist.lt.c flow by a sinusoidal t.aveling wave in t.e walls of t.o-dimensional channel wit. wall propert.es is invest.gat.d. t.e channel is filled wit. incompressible Eyring-Powell fluid. Mat.emat.cal modeling is developed t.rough aspect. of Hall current. t.ermal deposit.on and convect.on. Long wavelengt. and low Reynolds number considerat.ons are adopt.d. Pert.rbat.on solut.ons t. t.e result.ng problem for small mat.rial paramet.r of fluid are obt.ined. Expressions of velocit., t.mperat.re, concent.at.on and st.eam funct.on are derived. Variat.ons of pert.nent.paramet.rs on t.e physical quant.t.es of int.rest.are explored in det.il. t.e present.analysis is especially import.nt.t. predict.t.e rheological charact.rist.cs in engineering applicat.ons by perist.lsis.

关键词： Hall current t.ermal deposit.on MHD Eyring-Powell fluid.