"The emphasis on environmental protection and sustainability has led to ways to reduce theamount of waste in Construction and Production industries.In particular, the amount ofwaste accumulating in landfills and oceans will have a serious impact on the earth's climate inthe near future and is already being felt worldwide.One of the possible ways to reducerejected materials and waste is to develop self-healing materials. Natural materialsconsisting mainly of composites already show self-healing properties.The only drawback isthe time required to develop original strength. It is proposed to look at the geometricalproperties of such composites and look at parameters which could be optimized, with regardto self-healing.Such materials could find a place in roofing, earthquake resistant structures,road surfaces, space vehicles and car paints among numerous other consumer applications.Keywords: self-healing, composite, vascular, capsule, diffusion1.1 The problem of waste accumulation and pollution is now a global one.“Use and Throw”mindsets encouraged by big corporations aiming at obsolescence have contributed to hugepiles of toxic waste in major metropolises worldwide.The ocean has also been included inthe garbage dumping grounds, with immense islands of plastic bottles and waste being foundin littoral zones which have helped in destroying marine life and ecology. Renewablesustainable technologies are the need of the hour. So far people have been talking aboutrecycling e-waste and consumer goods, and in third world countries, many so called obsoleteproducts find extended lives in reuse and resale.In fact, the island nations of the Pacific haveadopted many of these technologies like producer gas for marine craft fuel and use of coconutpalm products and husk for roofing.In the field of materials, a new class of products hasappeared, "Self-Healing Materials".The idea is taken from Nature, where structural damagein skin, tissue, and bone is repaired in-situ by natural processes with an inbuilt system aided by vascular and other processes, (Bejan, Aug 2006, AIP, v100,3),. Some backgroundmaterials are mentioned in Wool(2008), also the mimicking of nature is mentioned in Trask,Wiliiams, Bond, ,(2007).There are two main methods by which the repair is carried out:(a) By heat which softens thematerial above its glass point and allows cracks to rejoin under pressure, (b) By massdiffusion aided chemical reaction and mass diffusion.The first method is a time honoured method in Materials Technology where the temperatureis changed and ageing or solutionizing is allowed to take place along with changes incomposition and properties. The procedure is tailored to the time dependent transformationproperties of the material.The second makes use of liquids and chemicals encapsulated orcontained in channels akin to capillaries which disperse on damage and rupture and travel tothe affected parts.,[3]( vascularised materials, S Kim and A Bejan, JAP, V100,6).Somematerials have epoxy filled urea-formaldehyde capsules, or epoxy in UV curable epoxydiacrylate shells, melamine formaldehyde, and urea formaldehyde with an epoxy solventsolution. ( Pastine, 2009, 131), (TC Mauldin, 2010, v55,6, 318-346).A mention is made ofintelligent materials using epoxy particles which can repair micro cracks and delaminationdamage in GFRP ( M Zako, (1999.) Most of the literature deals with the behavior on testingand experimental results, however, the design of such multiphase self-healing materials hasnot appeared in the public domain. In fact, materials filled with secondary capsules andtubes of superglue and other healing agents may also be regarded as composites.1 D healingmaterials based on hollow fibers may be regarded as a vascular network, with one partcyanoacrylate and two part epoxy.Properties before and after reaction:due to the mass flux and bonding with subsequentreactions and hardening, the properties of the material after healing will not be exactly the same as before.A time of rest or curing may be needed as in natural healing of damagedtissue, be it animal or plant tissue. The challenge is to formulate and design components thatcan sense damage and allow in-situ healing even during use.It is seen from nature that fullrepair takes time, however it has been claimed that for some polymer materials, the repairedmass is as good or better than the original. A review by Wang (2015) describes the capsuleand vascular-based systems. It is claimed that for capsule systems, the interlaminar fracturetoughness can exceed 100% repair.The healing properties of vascular and capsule-basedsystems is quite different in that vascular systems can repair continuously, whilst capsulesystems can not disperse more fluid after a capsule is ruptured and exhausted. The vascularsystems with tubes and capillaries can be refilled whilst the internal capsules cannot.Vascular systems may use inbuilt channels or use sacrificial fibers that are dissolvedsubsequent to manufacture to yield hollow channels, by melting, mechanical removal orchange of pH...Parameters of importance for the methods are Kic, E, UTS, and thermal properties, K, D andlattice or particle spacing.The diffusion coefficient for composite and other particulatematerials may be determined via DLS light scattering methods ( Tuncaboylu (2011), wherean apparent self-diffusion coefficient is determined by hydrophobic interactions.In thesubsequent analysis which relies on a mathematical model, the parameters to be applied willhave to rely on such experimental measurements or tabulated values for macro scalematerials. Haoliang and (2013) 71-81) define a phase bonding reaction rate:A diffusion Transport equation similar to Fick’s law is described as In the following, a formulation using the diffusion methodology is applied for mass diffusionand then thermal aided mass diffusion in getting an idea of how the secondary solventdiffuses into the matrix, regardless of the chemical composition of either. The analysis doesnot include chemical reaction. The self healing through local repair of bonds in polymericmaterials usually occurs through application of heat, and not through diffusion which islooked at here. A paper by Yuan (2008), mentions that the temperature should be above theglass transition, or by friction to a viscoelastic state.Another scenario is of self healing incementitious composites by hydration (Haoling and Ye,(2012)2.Analysis:The solution of the thermal diffusion equation is well known and can be found in numerousreferences ( Carslaw Jaeger).However, the solutions of the Mass diffusion equation and thecoupled Heat and mass diffusion equation are less well known. Paterson (1954) listssolutions for various geometries in the case of the thermal diffusion equation. These may bedescribed by the error functions in the linear, cylindrical and spherical coordinate systems "