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The Fra.tiona. Investiga.ion of Fornberg-Whitha. Equa.ion Using a. Efficient Technique

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Computer Modeling in Engineering & Sciences 2023年第4期135卷 259-273页

作者： Ha.sa. khan Poom Kuma. a.if Na.a. Qa.im khan Sha.ba. khan Depa.tment of Ma.hema.ics AbdulWali Khan UniversityMardan23200Pakistan Depa.tment of Ma.hema.ics Near East University TRNCMersin10Turkey Center of Excellence in Theoretica. a.d Computa.iona. Science(Ta.S-CoE)&KMUTTFixed Point Resea.ch La.ora.ory Room SCL 802 Fixed Point LaboratoryScience Laboratory BuildingDepartments of MathematicsFaculty of ScienceKing Mongkut’s University of Technology Thonburi(KMUTT)Bangkok10140Thailand Depa.tment of Medica. Resea.ch China Medical University HospitalChina Medical UniversityTaichung40402Taiwan

In the la.t few deca.es,it ha. become increa.ingly clea. tha. fra.tiona. ca.culus a.wa.s pla.s a.very significa.t role in va.ious bra.ches of a.plied *** this rea.on,fra.tiona. pa.tia. differentia. equa.ions(FPDEs)a.e of more importa.ce to model the different physica. processes in na.ure more ***,the a.a.ytica. or numerica. solutions to these problems a.e ta.en into serious considera.ion a.d severa. techniques or a.gorithms ha.e been developed for their *** the current work,the idea.of fra.tiona. ca.culus ha. been used,a.d fra.tiona. FornbergWhitha.equa.ion(FFWE)is represented in its fra.tiona. view ***-knownmethod which is residua. power series method(RPSM),is then implemented to solve *** a.e discussed through gra.hs a.d ta.les which conform to the higher a.cura.y of the proposed *** solutions a. different fra.tiona. orders a.e obta.ned a.d shown to be convergent towa.d a. integer-order *** the RPSM procedure is simple a.d stra.ghtforwa.d,it ca. be extended to solve other FPDEs a.d their systems.

关键词： Ca.uto deriva.ive fra.tiona. pa.tia. differentia. equa.ions fornberg-whitha. residua. power series method

Hea. Tra.sfer a.a.ysis for Dropwise-Filmwise Hybrid Surfa.e of Stea. on Vertica. Pla.e

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Journa. of Therma. Science 2021年第3期30卷 962-972页

作者： a.Ha.HEM a.dulwa.a. khan Ja.il School of Technologica. Studies Public Authority for Applied Education and TrainingSafat 13092Kuwait Mecha.ica. Engineering Depa.tment College of Engineering and ComputingUniversity of South CarolinaColumbiaSC 29201USA

a.model is proposed to predict a.d eva.ua.e the hea. tra.sfer cha.a.teristics of dropwise-filmwise hybrid *** is a.proa.hed by modifying the origina. drop-size distribution,which is defined for fully dropwise condensa.ion(DWC)a.d ma.ing it a.plica.le for dropwise-filmwise condensa.ion(DFC).The modifica.ion is a.hieved by simula.ion work to determine two pa.a.eters:the a.ea.fra.tion occupied by la.ge drops f a.d the ra.io of the ma.imum ra.ius of newly formed drops to tha. of la.ger drops γ.Simula.ion results show a.good a.reement with the litera.ure for fully DWC a.d provide a.correla.ion for ea.h pa.a.eter with respect to DWC region width in the DFC hybrid *** present model eva.ua.es the hea. tra.sfer performa.ce of DFC by utilizing these correla.ions.a.compa.ison is ma.e between the proposed model with experimenta. work from the litera.ure a.d results show a.good *** cha.ging filmwise condensa.ion(FWC)region width significa.tly a.fects the overa.l hea. tra.sfer performa.ce,utilizing sma.ler width to tha. of DWC region ha. the a.va.ta.e over fully ***,surfa.e renewa. within the hydrophobic region is controlled by a.justing the DWC region *** the ra.io of drop ma.imum dia.eter to DWC region width is unity,surfa.e renewa. is a.hieved by drops merging to a.ja.ent FWC regions *** the ra.io is less tha. unity,surfa.e renewa. is a.hieved by sweeping of depa.ting drops within the hydrophobic region a.d by *** ea.h ca.e,a. optimum DWC region width which corresponds to the ma.imum DFC hea. flux is defined.

关键词： dropwise-filmwise hybrid surfa.e dropwise condensa.ion region width filmwise condensa.ion region width drop-size distribution ma.imum ra.ius to region width ra.io

Chemica. composition a.d a.tioxida.t a.tivity of certa.n Morus species

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Journa. of Zhejia.g University-Science B(Biomedicine & Biotechnology) 2010年第12期11卷 973-980页

作者： Moha.ma. IMRa. Ha.a.un khan Mohibulla. SHa. Ra.ool khan Fa.idulla. khan Institute of Chemica. Sciences University of Peshawar Depa.tment of Chemistry Islamia College University Pa.ista. Council of Scientific & Industria. Resea.ch (PCSIR) La.ora.ories Complex

In the present work,the fruits of four Morus species,na.ely Morus a.ba.(white mulberry),Morus nigra.(bla.k mulberry),Morus la.viga.a.(la.ge white fruit),a.d Morus la.viga.a.(la.ge bla.k fruit),were a.a.yzed for proxima.e composition,essentia. minera.s,a.d a.tioxida.t *** this purpose,the ripe fruits were collected from the northern regions of *** ma.or nutritiona. components moisture,a.h,lipids,proteins,fibres,ca.bohydra.es,a.d tota. suga.) were found to be in the suita.le ra.ge a.ong with good computed *** dry weight,pH,a.d titra.a.le a.idity (percent citric a.id) were (17.60±1.94)–(21.97±2.34) mg/100 g,(3.20±0.07)–(4.78±0.15),a.d (0.84±0.40)%–(2.00±0.08)%,*** ribofla.in (vita.in B2) a.d nia.in (vita.in B3) contents were recorded in a.l the fruits,while a.corbic a.id (vita.in C) wa. in the ra.ge from (15.20±1.25) to (17.03±1.71) mg/100 g fresh weight (FW).The mulberry fruits were rich with rega.d to the tota. phenol a.d a.ka.oid contents,ha.ing va.ues of (880±7.20)–(1650±12.25) mg/100 g FW a.d (390±3.22)–(660±5.25) mg/100 g FW,*** qua.tities of essentia. ma.ro-(K,Ca.Mg,a.d Na. a.d micro-(Fe,Zn,a.d Ni) elements were found in a.l the fruits.K wa. the predomina.t element with concentra.ion ra.ging from (1270±9.36) to (1731±11.50) mg/100 g,while Ca.Na.a.d Mg contents were (440±3.21)–(576±7.37),(260±3.86)–(280±3.50),a.d (240±3.51)–(360±4.20) mg/100 g,*** decrea.ing order of micro-minera.s wa. Fe>Zn>*** ra.ica. sca.enging a.tivity of metha.olic extra.t of fruits wa. concentra.ion-dependent a.d showed a.correla.ion with tota. phenolic constituents of the respective *** on the results obta.ned,mulberry fruits were found to serve a. a.potentia. source of food diet a.d na.ura. a.tioxida.ts.

关键词： Mulberry fruits Chemica. composition 2 2-diphenyl-l-picrylhydra.yl (DPPH) ra.ica. sca.enging a.tivity Nutritiona. va.ue. Pa.ista.

Performa.ce of hot-mix a.pha.t using polymer-modified bitumen a.d ma.ble dust a. a.filler

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Journa. of Tra.fic a.d Tra.sporta.ion Engineering(English Edition) 2023年第3期10卷 385-398页

作者： Diya. khan Ra.id khan Muha.ma. Ta.iq khan Muha.ma. a.a. Ta.veer Ha.sa. Depa.tment of Civil Engineering University of Engineering and TechnologyPeshawarPakistan Fa.ulty of Tra.sport a.d a.ia.ion Engineering Silesian University of TechnologyKatowice 40-019Poland Depa.tment of Civil Engineering University of Engineering and TechnologyMardanPakistan Depa.tment of Built Environment a.d a.chitecture London South Bank UniversityLondon SE10AAUK

Ma.ble dust wa.te powder genera.ed by the ma.ble cutting industry ha. a.high *** this resea.ch,the use of ma.ble dust(MD)a. a.minera. filler substitute in hot mixed a.pha.t(HMa.wa. *** Ma.sha.l mix design wa. used to determine the optimum bitumen content(OBC)for a.l of the *** ea.h of the four MD contents,i.e.,0,2%,4%,a.d 6%by weight of the tota. a.grega.es,four different bitumen percenta.es were *** results of the Ma.sha.l sta.ility test showed tha. the optimum filler content wa. 4%*** were prepa.ed with 0 MD in the control mix a.d va.ying percenta.es of MD a. a. a.terna.e *** a.dition,MD a.ded in increa.ing the Ma.sha.l sta.ility,rutting resista.ce,a.d perma.ent deforma.ion a.d reduced the fa.igue life of a.pha.t *** the percenta.e of MD increa.es,the rutting resista.ce a.d stiffness a. high tempera.ures both *** the percenta.e of MD increa.es,the fa.igue life *** resista.ce in high-tempera.ure conditions ca. be improved by using MD in HMa.a. a.pa.tia. substitute for stone dust(SD).In a.ea. where extensive MD wa.te is present,MD ca. be incorpora.ed into HMa.mixtures instea. of conventiona. fillers.

关键词： a.pha.t mixture Ma.ble dust Wheel tra.ker test Dyna.ic modulus test Four-point fa.igue bea. test

Interdependence of friction, wea., a.d noise: a.review

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Friction 2021年第6期9卷 1319-1345页

作者： Kevin LONTIN Muha.ma. khan Cra.field University MK430ALUK

Phenomena.of friction,wea.,a.d noise in mecha.ica. conta.ts a.e pa.ticula.ly importa.t in the field of tribomecha.ics but equa.ly complex if one wa.ts to represent their exa.t rela.ionship with ma.hema.ica. *** ha.e been ma.e to describe these phenomena.with different a.proa.hes in *** efforts ha.e been compiled in different reviews but most of them trea.ed friction,wea. mecha.ics,a.d a.oustic noise ***,a. in-depth review tha. provides a.critica. a.a.ysis on their interdependencies is still *** this review pa.er,the interdependencies of friction,wea.,a.d noise a.e a.a.ysed in the mecha.ica. conta.ts a. a.peritica. *** origin of frictiona. noise,its dependencies on conta.t’s mecha.ica. properties,a.d its performa.ce under different wea. conditions a.e critica.ly reviewed.a.discussion on the existing ma.hema.ica. models of friction a.d wea. is a.so provided in the la.t section tha. lea.s to uncover the ga. in the existing *** review concludes tha. still a.comprehensive a.a.ytica. modelling a.proa.h is required to rela.e the interdependencies of friction,noise,a.d wea. with ma.hema.ica. expressions.

关键词： noise a.oustic emission wea. friction

Regula.ion a.d Improvement of Cellula.e Production: Recent a.va.ces

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Na.ura. Resources 2014年第14期5卷 857-863页

作者： Na.ir a.i Muha.ma. a.ma. a.ha. Ya.ir Ha.a. khan Muha.ma. idrees Da.ood a.ma. School of Life Science Xiamen University Xiamen China Chengdu Institute of Biology Chinese Academy of Sciences Chengdu China Institute of Biotechnology a.d Genetic Engineering Khyber Pakhtunkhwa Agricultural University Peshawar Pakistan

Cellula.es a.d hemicellula.es a.e the ma.n industria. sources from different microorga.isms used to depolymerise pla.t bioma.s to simple suga.s tha. a.e converted to chemica. intermedia.es a.d biofuels, such a. etha.ol. Cellula.es a.e formed a.a.tively, a.d severa. positive (xyr1, a.e2, Ha.2/3/5) a.d nega.ive (a.e1, Cre1) components involved in this regula.ion a.e now known. In this review, we summa.ise current knowledge a.out how cellula.e biosynthesis is regula.ed, a.d outline recent a.proa.hes a.d suita.le stra.egies for fa.ilita.ing the ta.geted improvement of cellula.e production by genetic engineering. Trichoderma.reesei is the preferred orga.ism for producing industria. cellula.es. However, a.more efficient heterologous expression system for enzymes from different orga.ism is needed to further improve its cellula.e mixture. In a.dition those optimiza.ions of the promoter a.d linker for hybrid genes ca. dra.a.ica.ly improve the efficiency of heterologous expression of cellula.e genes.

关键词： Cellula.e Regula.ion Tra.scription Promoter Review

Environmenta. susta.na.ility of grey wa.er footprints in Pesha.a. Ba.in:Current a.d future reduced flow scena.ios for Ka.ul River

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Interna.iona. Journa. of a.ricultura. a.d Biologica. Engineering 2019年第4期12卷 162-168页

作者： Ta.iq khan Hizbulla. khan Depa.tment of Environmenta. Sciences University of Haripur22640Pakistan Depa.tment of Environmenta. Sciences University of Peshawar25000Pakistan

a.sessing wa.er pollution a. ba.in level is a.cha.lenging *** this study,the environmenta. susta.na.ility of grey wa.er footprints(WFgrey)of Pesha.a. Ba.in in Pa.ista. wa. *** relea.e of nitrogen(N)a.d phosphorus(P)from point a.d non-point sources during the period 1986 to 2015 were *** pollution level(WPL)for norma. a.d 10%-50%future reduced runoff in Ka.ul River a. a.result of construction of da.s wa. *** described in Wa.er Footprint a.sessment Ma.ua. a.d Grey Wa.er Footprint a.counting Guidelines were *** showed tha. 30-yea. a.nua. a.era.e of N a.d P discha.ges were 24.5×10^(3)t/a.a.d 10.9×10^(4)t/a.*** discha.ge of N a.d P from non-point sources contribute 97%a.d 99%respectively.N rela.ed WFgrey wa. 50×10^(8)m^(3)/a.a.d 50×10^(9)m^(3)/a.for *** of N wa. within the susta.na.le limit for a.l reduced runoff scena.ios while P-rela.ed WPL for norma. runoff exceeded susta.na.le limits a.d wa. worse in ea.h reduced runoff *** study confirms the deteriora.ed wa.er qua.ity of Ka.ul River a.d the findings ma. be helpful for future pla.ning a.d wa.er resource ma.a.ement of the ba.in.

关键词： susta.na.ility grey wa.er footprint nitrogen phosphorus wa.er pollution Ka.ul River Pa.ista.

Monte-Ca.lo simula.ion of a.stocha.tic differentia. equa.ion

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Pla.ma.Science a.d Technology 2017年第12期19卷 6-14页

作者： a.if ULLa. Ma.id khan M Ka.Ra. R khan 盛正卯 Hefei Na.iona. La.ora.ory for Physica. Sciences a. the Microsca.e University of Science and Technology of ChinaHefei 230026People's Republic of China Depa.tment of Physics Qua.d-i-a.a. University Isla.a.a. Pakistan Depa.tment of Physics Institute of Fusion Theory and SimulationsZhejiang UniversityHangzhou 310027People's Republic of China Depa.tment of Physics COMSATS Institute of Information TechnologyChack ShahzadIslamabadPakistan Depa.tment of Physics Abdul Wali Khan University23200 MardanKPKPakistan

For solving higher dimensiona. diffusion equa.ions with a. inhomogeneous diffusion coefficient,Monte Ca.lo（MC） techniques a.e considered to be more effective tha. other a.gorithms, such a. finite element method or finite difference method. The inhomogeneity of diffusion coefficient strongly limits the use of different numerica. techniques. For better convergence, methods with higher orders ha.e been kept forwa.d to a.low MC codes with la.ge step size. The ma.n focus of this work is to look for opera.ors tha. ca. produce converging results for la.ge step sizes. a. a.first step, our compa.a.ive a.a.ysis ha. been a.plied to a.genera. stocha.tic ***, our formuliza.ion is a.plied to the problem of pitch a.gle sca.tering resulting from Coulomb collisions of cha.ge pa.ticles in the toroida. devices.

关键词： Monte-Ca.lo simula.ion stocha.tic differentia. equa.ions toroida. pla.ma. numerica. methods

Stokes' First Problem for a. MHD Burgers Fluid

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Communica.ions in Theoretica. Physics 2013年第1期59卷 99-104页

作者： Ma.ood khan Depa.tment of Ma.hema.ics Quaid-i-Azam University

This work is rela.ed to the flow of a.ma.netohydrodyna.ic Burgers *** flow of a. incompressible conducting Burgers fluid in the presence of a.uniform tra.sverse ma.netic field over a.pla.e tha. is moved suddenly is *** the a.plica.ion of the La.la.e a.d Fourier sine tra.sforms techniques,the exa.t a.a.ytica. expressions for the velocity field a.d a.socia.ed shea. stress a.e determined in simple *** a.e written a. a.sum of stea.y-sta.e a.d tra.sient *** gra.hica. results a.e plotted for different va.ues of indispensa.le pa.a.eters a.d some interesting results a.e *** corresponding solutions for the hydrodyna.ic Burgers fluid a.pea. a. the limiting ca.es of the obta.ned solutions.

关键词： Stokes' first problem Burgers fluid La.la.e a.d Fourier sine tra.sforms exa.t solutions